topology.category.Top.opens ⟷ Mathlib.Topology.Category.TopCat.Opens

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -415,7 +415,7 @@ def IsOpenMap.adjunction {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) :
 
 #print IsOpenMap.functorFullOfMono /-
 instance IsOpenMap.functorFullOfMono {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) [H : Mono f] :
-    Full hf.Functor
+    CategoryTheory.Functor.Full hf.Functor
     where preimage U V i :=
     homOfLE fun x hx => by obtain ⟨y, hy, eq⟩ := i.le ⟨x, hx, rfl⟩;
       exact (TopCat.mono_iff_injective f).mp H Eq ▸ hy
@@ -424,7 +424,7 @@ instance IsOpenMap.functorFullOfMono {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMa
 
 #print IsOpenMap.functor_faithful /-
 instance IsOpenMap.functor_faithful {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) :
-    Faithful hf.Functor where
+    CategoryTheory.Functor.Faithful hf.Functor where
 #align is_open_map.functor_faithful IsOpenMap.functor_faithful
 -/
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -5,7 +5,7 @@ Authors: Scott Morrison
 -/
 import CategoryTheory.Category.Preorder
 import CategoryTheory.EqToHom
-import Topology.Category.Top.EpiMono
+import Topology.Category.TopCat.EpiMono
 import Topology.Sets.Opens
 
 #align_import topology.category.Top.opens from "leanprover-community/mathlib"@"f2b757fc5c341d88741b9c4630b1e8ba973c5726"

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

@@ -3,10 +3,10 @@ Copyright (c) 2019 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.CategoryTheory.Category.Preorder
-import Mathbin.CategoryTheory.EqToHom
-import Mathbin.Topology.Category.Top.EpiMono
-import Mathbin.Topology.Sets.Opens
+import CategoryTheory.Category.Preorder
+import CategoryTheory.EqToHom
+import Topology.Category.Top.EpiMono
+import Topology.Sets.Opens
 
 #align_import topology.category.Top.opens from "leanprover-community/mathlib"@"f2b757fc5c341d88741b9c4630b1e8ba973c5726"
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

@@ -2,17 +2,14 @@
 Copyright (c) 2019 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module topology.category.Top.opens
-! leanprover-community/mathlib commit f2b757fc5c341d88741b9c4630b1e8ba973c5726
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Category.Preorder
 import Mathbin.CategoryTheory.EqToHom
 import Mathbin.Topology.Category.Top.EpiMono
 import Mathbin.Topology.Sets.Opens
 
+#align_import topology.category.Top.opens from "leanprover-community/mathlib"@"f2b757fc5c341d88741b9c4630b1e8ba973c5726"
+
 /-!
 # The category of open sets in a topological space.
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

@@ -56,65 +56,84 @@ the morphisms `U ⟶ V` are not just proofs `U ≤ V`, but rather
 -/
 
 
+#print TopologicalSpace.Opens.opensHomHasCoeToFun /-
 instance opensHomHasCoeToFun {U V : Opens X} : CoeFun (U ⟶ V) fun f => U → V :=
   ⟨fun f x => ⟨x, f.le x.2⟩⟩
 #align topological_space.opens.opens_hom_has_coe_to_fun TopologicalSpace.Opens.opensHomHasCoeToFun
+-/
 
 /-!
 We now construct as morphisms various inclusions of open sets.
 -/
 
 
+#print TopologicalSpace.Opens.infLELeft /-
 -- This is tedious, but necessary because we decided not to allow Prop as morphisms in a category...
 /-- The inclusion `U ⊓ V ⟶ U` as a morphism in the category of open sets.
 -/
 def infLELeft (U V : Opens X) : U ⊓ V ⟶ U :=
   inf_le_left.Hom
 #align topological_space.opens.inf_le_left TopologicalSpace.Opens.infLELeft
+-/
 
+#print TopologicalSpace.Opens.infLERight /-
 /-- The inclusion `U ⊓ V ⟶ V` as a morphism in the category of open sets.
 -/
 def infLERight (U V : Opens X) : U ⊓ V ⟶ V :=
   inf_le_right.Hom
 #align topological_space.opens.inf_le_right TopologicalSpace.Opens.infLERight
+-/
 
+#print TopologicalSpace.Opens.leSupr /-
 /-- The inclusion `U i ⟶ supr U` as a morphism in the category of open sets.
 -/
 def leSupr {ι : Type _} (U : ι → Opens X) (i : ι) : U i ⟶ iSup U :=
   (le_iSup U i).Hom
 #align topological_space.opens.le_supr TopologicalSpace.Opens.leSupr
+-/
 
+#print TopologicalSpace.Opens.botLE /-
 /-- The inclusion `⊥ ⟶ U` as a morphism in the category of open sets.
 -/
 def botLE (U : Opens X) : ⊥ ⟶ U :=
   bot_le.Hom
 #align topological_space.opens.bot_le TopologicalSpace.Opens.botLE
+-/
 
+#print TopologicalSpace.Opens.leTop /-
 /-- The inclusion `U ⟶ ⊤` as a morphism in the category of open sets.
 -/
 def leTop (U : Opens X) : U ⟶ ⊤ :=
   le_top.Hom
 #align topological_space.opens.le_top TopologicalSpace.Opens.leTop
+-/
 
+#print TopologicalSpace.Opens.infLELeft_apply /-
 -- We do not mark this as a simp lemma because it breaks open `x`.
 -- Nevertheless, it is useful in `sheaf_of_functions`.
 theorem infLELeft_apply (U V : Opens X) (x) :
     (infLELeft U V) x = ⟨x.1, (@inf_le_left _ _ U V : _ ≤ _) x.2⟩ :=
   rfl
 #align topological_space.opens.inf_le_left_apply TopologicalSpace.Opens.infLELeft_apply
+-/
 
+#print TopologicalSpace.Opens.infLELeft_apply_mk /-
 @[simp]
 theorem infLELeft_apply_mk (U V : Opens X) (x) (m) :
     (infLELeft U V) ⟨x, m⟩ = ⟨x, (@inf_le_left _ _ U V : _ ≤ _) m⟩ :=
   rfl
 #align topological_space.opens.inf_le_left_apply_mk TopologicalSpace.Opens.infLELeft_apply_mk
+-/
 
+#print TopologicalSpace.Opens.leSupr_apply_mk /-
 @[simp]
 theorem leSupr_apply_mk {ι : Type _} (U : ι → Opens X) (i : ι) (x) (m) :
     (leSupr U i) ⟨x, m⟩ = ⟨x, (le_iSup U i : _) m⟩ :=
   rfl
 #align topological_space.opens.le_supr_apply_mk TopologicalSpace.Opens.leSupr_apply_mk
+-/
 
+#print TopologicalSpace.Opens.toTopCat /-
 /-- The functor from open sets in `X` to `Top`,
 realising each open set as a topological space itself.
 -/
@@ -125,13 +144,17 @@ def toTopCat (X : TopCat.{u}) : Opens X ⥤ TopCat
     ⟨fun x => ⟨x.1, i.le x.2⟩,
       (Embedding.continuous_iff embedding_subtype_val).2 continuous_induced_dom⟩
 #align topological_space.opens.to_Top TopologicalSpace.Opens.toTopCat
+-/
 
+#print TopologicalSpace.Opens.toTopCat_map /-
 @[simp]
 theorem toTopCat_map (X : TopCat.{u}) {U V : Opens X} {f : U ⟶ V} {x} {h} :
     ((toTopCat X).map f) ⟨x, h⟩ = ⟨x, f.le h⟩ :=
   rfl
 #align topological_space.opens.to_Top_map TopologicalSpace.Opens.toTopCat_map
+-/
 
+#print TopologicalSpace.Opens.inclusion /-
 /-- The inclusion map from an open subset to the whole space, as a morphism in `Top`.
 -/
 @[simps (config := { fullyApplied := false })]
@@ -140,11 +163,15 @@ def inclusion {X : TopCat.{u}} (U : Opens X) : (toTopCat X).obj U ⟶ X
   toFun := _
   continuous_toFun := continuous_subtype_val
 #align topological_space.opens.inclusion TopologicalSpace.Opens.inclusion
+-/
 
+#print TopologicalSpace.Opens.openEmbedding /-
 theorem openEmbedding {X : TopCat.{u}} (U : Opens X) : OpenEmbedding (inclusion U) :=
   IsOpen.openEmbedding_subtype_val U.2
 #align topological_space.opens.open_embedding TopologicalSpace.Opens.openEmbedding
+-/
 
+#print TopologicalSpace.Opens.inclusionTopIso /-
 /-- The inclusion of the top open subset (i.e. the whole space) is an isomorphism.
 -/
 def inclusionTopIso (X : TopCat.{u}) : (toTopCat X).obj ⊤ ≅ X
@@ -152,7 +179,9 @@ def inclusionTopIso (X : TopCat.{u}) : (toTopCat X).obj ⊤ ≅ X
   Hom := inclusion ⊤
   inv := ⟨fun x => ⟨x, trivial⟩, continuous_def.2 fun U ⟨S, hS, hSU⟩ => hSU ▸ hS⟩
 #align topological_space.opens.inclusion_top_iso TopologicalSpace.Opens.inclusionTopIso
+-/
 
+#print TopologicalSpace.Opens.map /-
 /-- `opens.map f` gives the functor from open sets in Y to open set in X,
     given by taking preimages under f. -/
 def map (f : X ⟶ Y) : Opens Y ⥤ Opens X
@@ -160,84 +189,112 @@ def map (f : X ⟶ Y) : Opens Y ⥤ Opens X
   obj U := ⟨f ⁻¹' U, U.IsOpen.preimage f.Continuous⟩
   map U V i := ⟨⟨fun x h => i.le h⟩⟩
 #align topological_space.opens.map TopologicalSpace.Opens.map
+-/
 
+#print TopologicalSpace.Opens.map_coe /-
 theorem map_coe (f : X ⟶ Y) (U : Opens Y) : ↑((map f).obj U) = f ⁻¹' U :=
   rfl
 #align topological_space.opens.map_coe TopologicalSpace.Opens.map_coe
+-/
 
+#print TopologicalSpace.Opens.map_obj /-
 @[simp]
 theorem map_obj (f : X ⟶ Y) (U) (p) : (map f).obj ⟨U, p⟩ = ⟨f ⁻¹' U, p.preimage f.Continuous⟩ :=
   rfl
 #align topological_space.opens.map_obj TopologicalSpace.Opens.map_obj
+-/
 
+#print TopologicalSpace.Opens.map_id_obj /-
 @[simp]
 theorem map_id_obj (U : Opens X) : (map (𝟙 X)).obj U = U :=
   let ⟨_, _⟩ := U
   rfl
 #align topological_space.opens.map_id_obj TopologicalSpace.Opens.map_id_obj
+-/
 
+#print TopologicalSpace.Opens.map_id_obj' /-
 @[simp]
 theorem map_id_obj' (U) (p) : (map (𝟙 X)).obj ⟨U, p⟩ = ⟨U, p⟩ :=
   rfl
 #align topological_space.opens.map_id_obj' TopologicalSpace.Opens.map_id_obj'
+-/
 
+#print TopologicalSpace.Opens.map_id_obj_unop /-
 @[simp]
 theorem map_id_obj_unop (U : (Opens X)ᵒᵖ) : (map (𝟙 X)).obj (unop U) = unop U :=
   let ⟨_, _⟩ := U.unop
   rfl
 #align topological_space.opens.map_id_obj_unop TopologicalSpace.Opens.map_id_obj_unop
+-/
 
+#print TopologicalSpace.Opens.op_map_id_obj /-
 @[simp]
 theorem op_map_id_obj (U : (Opens X)ᵒᵖ) : (map (𝟙 X)).op.obj U = U := by simp
 #align topological_space.opens.op_map_id_obj TopologicalSpace.Opens.op_map_id_obj
+-/
 
+#print TopologicalSpace.Opens.leMapTop /-
 /-- The inclusion `U ⟶ (map f).obj ⊤` as a morphism in the category of open sets.
 -/
 def leMapTop (f : X ⟶ Y) (U : Opens X) : U ⟶ (map f).obj ⊤ :=
   leTop U
 #align topological_space.opens.le_map_top TopologicalSpace.Opens.leMapTop
+-/
 
+#print TopologicalSpace.Opens.map_comp_obj /-
 @[simp]
 theorem map_comp_obj (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
     (map (f ≫ g)).obj U = (map f).obj ((map g).obj U) :=
   rfl
 #align topological_space.opens.map_comp_obj TopologicalSpace.Opens.map_comp_obj
+-/
 
+#print TopologicalSpace.Opens.map_comp_obj' /-
 @[simp]
 theorem map_comp_obj' (f : X ⟶ Y) (g : Y ⟶ Z) (U) (p) :
     (map (f ≫ g)).obj ⟨U, p⟩ = (map f).obj ((map g).obj ⟨U, p⟩) :=
   rfl
 #align topological_space.opens.map_comp_obj' TopologicalSpace.Opens.map_comp_obj'
+-/
 
+#print TopologicalSpace.Opens.map_comp_map /-
 @[simp]
 theorem map_comp_map (f : X ⟶ Y) (g : Y ⟶ Z) {U V} (i : U ⟶ V) :
     (map (f ≫ g)).map i = (map f).map ((map g).map i) :=
   rfl
 #align topological_space.opens.map_comp_map TopologicalSpace.Opens.map_comp_map
+-/
 
+#print TopologicalSpace.Opens.map_comp_obj_unop /-
 @[simp]
 theorem map_comp_obj_unop (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
     (map (f ≫ g)).obj (unop U) = (map f).obj ((map g).obj (unop U)) :=
   rfl
 #align topological_space.opens.map_comp_obj_unop TopologicalSpace.Opens.map_comp_obj_unop
+-/
 
+#print TopologicalSpace.Opens.op_map_comp_obj /-
 @[simp]
 theorem op_map_comp_obj (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
     (map (f ≫ g)).op.obj U = (map f).op.obj ((map g).op.obj U) :=
   rfl
 #align topological_space.opens.op_map_comp_obj TopologicalSpace.Opens.op_map_comp_obj
+-/
 
+#print TopologicalSpace.Opens.map_iSup /-
 theorem map_iSup (f : X ⟶ Y) {ι : Type _} (U : ι → Opens Y) :
     (map f).obj (iSup U) = iSup ((map f).obj ∘ U) :=
   by
   ext1; rw [supr_def, supr_def, map_obj]
   dsimp; rw [Set.preimage_iUnion]; rfl
 #align topological_space.opens.map_supr TopologicalSpace.Opens.map_iSup
+-/
 
 section
 
 variable (X)
 
+#print TopologicalSpace.Opens.mapId /-
 /-- The functor `opens X ⥤ opens X` given by taking preimages under the identity function
 is naturally isomorphic to the identity functor.
 -/
@@ -247,12 +304,16 @@ def mapId : map (𝟙 X) ≅ 𝟭 (Opens X)
   Hom := { app := fun U => eqToHom (map_id_obj U) }
   inv := { app := fun U => eqToHom (map_id_obj U).symm }
 #align topological_space.opens.map_id TopologicalSpace.Opens.mapId
+-/
 
+#print TopologicalSpace.Opens.map_id_eq /-
 theorem map_id_eq : map (𝟙 X) = 𝟭 (Opens X) := by unfold map; congr; ext; rfl; ext
 #align topological_space.opens.map_id_eq TopologicalSpace.Opens.map_id_eq
+-/
 
 end
 
+#print TopologicalSpace.Opens.mapComp /-
 /-- The natural isomorphism between taking preimages under `f ≫ g`, and the composite
 of taking preimages under `g`, then preimages under `f`.
 -/
@@ -262,11 +323,15 @@ def mapComp (f : X ⟶ Y) (g : Y ⟶ Z) : map (f ≫ g) ≅ map g ⋙ map f
   Hom := { app := fun U => eqToHom (map_comp_obj f g U) }
   inv := { app := fun U => eqToHom (map_comp_obj f g U).symm }
 #align topological_space.opens.map_comp TopologicalSpace.Opens.mapComp
+-/
 
+#print TopologicalSpace.Opens.map_comp_eq /-
 theorem map_comp_eq (f : X ⟶ Y) (g : Y ⟶ Z) : map (f ≫ g) = map g ⋙ map f :=
   rfl
 #align topological_space.opens.map_comp_eq TopologicalSpace.Opens.map_comp_eq
+-/
 
+#print TopologicalSpace.Opens.mapIso /-
 -- We could make `f g` implicit here, but it's nice to be able to see when
 -- they are the identity (often!)
 /-- If two continuous maps `f g : X ⟶ Y` are equal,
@@ -276,29 +341,39 @@ def mapIso (f g : X ⟶ Y) (h : f = g) : map f ≅ map g :=
   NatIso.ofComponents (fun U => eqToIso (congr_fun (congr_arg Functor.obj (congr_arg map h)) U))
     (by obviously)
 #align topological_space.opens.map_iso TopologicalSpace.Opens.mapIso
+-/
 
+#print TopologicalSpace.Opens.map_eq /-
 theorem map_eq (f g : X ⟶ Y) (h : f = g) : map f = map g := by unfold map; congr; ext; rw [h];
   rw [h]; assumption'
 #align topological_space.opens.map_eq TopologicalSpace.Opens.map_eq
+-/
 
+#print TopologicalSpace.Opens.mapIso_refl /-
 @[simp]
 theorem mapIso_refl (f : X ⟶ Y) (h) : mapIso f f h = Iso.refl (map _) :=
   rfl
 #align topological_space.opens.map_iso_refl TopologicalSpace.Opens.mapIso_refl
+-/
 
+#print TopologicalSpace.Opens.mapIso_hom_app /-
 @[simp]
 theorem mapIso_hom_app (f g : X ⟶ Y) (h : f = g) (U : Opens Y) :
     (mapIso f g h).Hom.app U = eqToHom (congr_fun (congr_arg Functor.obj (congr_arg map h)) U) :=
   rfl
 #align topological_space.opens.map_iso_hom_app TopologicalSpace.Opens.mapIso_hom_app
+-/
 
+#print TopologicalSpace.Opens.mapIso_inv_app /-
 @[simp]
 theorem mapIso_inv_app (f g : X ⟶ Y) (h : f = g) (U : Opens Y) :
     (mapIso f g h).inv.app U =
       eqToHom (congr_fun (congr_arg Functor.obj (congr_arg map h.symm)) U) :=
   rfl
 #align topological_space.opens.map_iso_inv_app TopologicalSpace.Opens.mapIso_inv_app
+-/
 
+#print TopologicalSpace.Opens.mapMapIso /-
 /-- A homeomorphism of spaces gives an equivalence of categories of open sets.
 
 TODO: define `order_iso.equivalence`, use it.
@@ -315,9 +390,11 @@ def mapMapIso {X Y : TopCat.{u}} (H : X ≅ Y) : Opens Y ≌ Opens X
     NatIso.ofComponents (fun U => eqToIso (by simp [map, Set.preimage_preimage]))
       (by intro _ _ _; simp)
 #align topological_space.opens.map_map_iso TopologicalSpace.Opens.mapMapIso
+-/
 
 end TopologicalSpace.Opens
 
+#print IsOpenMap.functor /-
 /-- An open map `f : X ⟶ Y` induces a functor `opens X ⥤ opens Y`.
 -/
 @[simps]
@@ -326,7 +403,9 @@ def IsOpenMap.functor {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) : Opens X
   obj U := ⟨f '' U, hf U U.2⟩
   map U V h := ⟨⟨Set.image_subset _ h.down.down⟩⟩
 #align is_open_map.functor IsOpenMap.functor
+-/
 
+#print IsOpenMap.adjunction /-
 /-- An open map `f : X ⟶ Y` induces an adjunction between `opens X` and `opens Y`.
 -/
 def IsOpenMap.adjunction {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) :
@@ -335,38 +414,50 @@ def IsOpenMap.adjunction {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) :
     { Unit := { app := fun U => homOfLE fun x hxU => ⟨x, hxU, rfl⟩ }
       counit := { app := fun V => homOfLE fun y ⟨x, hfxV, hxy⟩ => hxy ▸ hfxV } }
 #align is_open_map.adjunction IsOpenMap.adjunction
+-/
 
+#print IsOpenMap.functorFullOfMono /-
 instance IsOpenMap.functorFullOfMono {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) [H : Mono f] :
     Full hf.Functor
     where preimage U V i :=
     homOfLE fun x hx => by obtain ⟨y, hy, eq⟩ := i.le ⟨x, hx, rfl⟩;
       exact (TopCat.mono_iff_injective f).mp H Eq ▸ hy
 #align is_open_map.functor_full_of_mono IsOpenMap.functorFullOfMono
+-/
 
+#print IsOpenMap.functor_faithful /-
 instance IsOpenMap.functor_faithful {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) :
     Faithful hf.Functor where
 #align is_open_map.functor_faithful IsOpenMap.functor_faithful
+-/
 
 namespace TopologicalSpace.Opens
 
 open TopologicalSpace
 
+#print TopologicalSpace.Opens.openEmbedding_obj_top /-
 @[simp]
 theorem openEmbedding_obj_top {X : TopCat} (U : Opens X) :
     U.OpenEmbedding.IsOpenMap.Functor.obj ⊤ = U := by ext1;
   exact set.image_univ.trans Subtype.range_coe
 #align topological_space.opens.open_embedding_obj_top TopologicalSpace.Opens.openEmbedding_obj_top
+-/
 
+#print TopologicalSpace.Opens.inclusion_map_eq_top /-
 @[simp]
 theorem inclusion_map_eq_top {X : TopCat} (U : Opens X) : (Opens.map U.inclusion).obj U = ⊤ := by
   ext1; exact Subtype.coe_preimage_self _
 #align topological_space.opens.inclusion_map_eq_top TopologicalSpace.Opens.inclusion_map_eq_top
+-/
 
+#print TopologicalSpace.Opens.adjunction_counit_app_self /-
 @[simp]
 theorem adjunction_counit_app_self {X : TopCat} (U : Opens X) :
     U.OpenEmbedding.IsOpenMap.Adjunction.counit.app U = eqToHom (by simp) := by ext
 #align topological_space.opens.adjunction_counit_app_self TopologicalSpace.Opens.adjunction_counit_app_self
+-/
 
+#print TopologicalSpace.Opens.inclusion_top_functor /-
 theorem inclusion_top_functor (X : TopCat) :
     (@Opens.openEmbedding X ⊤).IsOpenMap.Functor = map (inclusionTopIso X).inv :=
   by
@@ -377,7 +468,9 @@ theorem inclusion_top_functor (X : TopCat) :
   intros; apply Subsingleton.helim; congr 1
   iterate 2 apply inclusion_top_functor.obj_eq
 #align topological_space.opens.inclusion_top_functor TopologicalSpace.Opens.inclusion_top_functor
+-/
 
+#print TopologicalSpace.Opens.functor_obj_map_obj /-
 theorem functor_obj_map_obj {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) (U : Opens Y) :
     hf.Functor.obj ((Opens.map f).obj U) = hf.Functor.obj ⊤ ⊓ U :=
   by
@@ -385,30 +478,39 @@ theorem functor_obj_map_obj {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) (U :
   · rintro ⟨x, hx, rfl⟩; exact ⟨⟨x, trivial, rfl⟩, hx⟩
   · rintro ⟨⟨x, -, rfl⟩, hx⟩; exact ⟨x, hx, rfl⟩
 #align topological_space.opens.functor_obj_map_obj TopologicalSpace.Opens.functor_obj_map_obj
+-/
 
+#print TopologicalSpace.Opens.functor_map_eq_inf /-
 @[simp]
 theorem functor_map_eq_inf {X : TopCat} (U V : Opens X) :
     U.OpenEmbedding.IsOpenMap.Functor.obj ((Opens.map U.inclusion).obj V) = V ⊓ U := by ext1;
   refine' set.image_preimage_eq_inter_range.trans _; simpa
 #align topological_space.opens.functor_map_eq_inf TopologicalSpace.Opens.functor_map_eq_inf
+-/
 
+#print TopologicalSpace.Opens.map_functor_eq' /-
 theorem map_functor_eq' {X U : TopCat} (f : U ⟶ X) (hf : OpenEmbedding f) (V) :
     ((Opens.map f).obj <| hf.IsOpenMap.Functor.obj V) = V :=
   Opens.ext <| Set.preimage_image_eq _ hf.inj
 #align topological_space.opens.map_functor_eq' TopologicalSpace.Opens.map_functor_eq'
+-/
 
+#print TopologicalSpace.Opens.map_functor_eq /-
 @[simp]
 theorem map_functor_eq {X : TopCat} {U : Opens X} (V : Opens U) :
     ((Opens.map U.inclusion).obj <| U.OpenEmbedding.IsOpenMap.Functor.obj V) = V :=
   TopologicalSpace.Opens.map_functor_eq' _ U.OpenEmbedding V
 #align topological_space.opens.map_functor_eq TopologicalSpace.Opens.map_functor_eq
+-/
 
+#print TopologicalSpace.Opens.adjunction_counit_map_functor /-
 @[simp]
 theorem adjunction_counit_map_functor {X : TopCat} {U : Opens X} (V : Opens U) :
     U.OpenEmbedding.IsOpenMap.Adjunction.counit.app (U.OpenEmbedding.IsOpenMap.Functor.obj V) =
       eqToHom (by conv_rhs => rw [← V.map_functor_eq]; rfl) :=
   by ext
 #align topological_space.opens.adjunction_counit_map_functor TopologicalSpace.Opens.adjunction_counit_map_functor
+-/
 
 end TopologicalSpace.Opens
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb

@@ -248,7 +248,7 @@ def mapId : map (𝟙 X) ≅ 𝟭 (Opens X)
   inv := { app := fun U => eqToHom (map_id_obj U).symm }
 #align topological_space.opens.map_id TopologicalSpace.Opens.mapId
 
-theorem map_id_eq : map (𝟙 X) = 𝟭 (Opens X) := by unfold map; congr ; ext; rfl; ext
+theorem map_id_eq : map (𝟙 X) = 𝟭 (Opens X) := by unfold map; congr; ext; rfl; ext
 #align topological_space.opens.map_id_eq TopologicalSpace.Opens.map_id_eq
 
 end
@@ -277,7 +277,7 @@ def mapIso (f g : X ⟶ Y) (h : f = g) : map f ≅ map g :=
     (by obviously)
 #align topological_space.opens.map_iso TopologicalSpace.Opens.mapIso
 
-theorem map_eq (f g : X ⟶ Y) (h : f = g) : map f = map g := by unfold map; congr ; ext; rw [h];
+theorem map_eq (f g : X ⟶ Y) (h : f = g) : map f = map g := by unfold map; congr; ext; rw [h];
   rw [h]; assumption'
 #align topological_space.opens.map_eq TopologicalSpace.Opens.map_eq
 
@@ -370,11 +370,11 @@ theorem adjunction_counit_app_self {X : TopCat} (U : Opens X) :
 theorem inclusion_top_functor (X : TopCat) :
     (@Opens.openEmbedding X ⊤).IsOpenMap.Functor = map (inclusionTopIso X).inv :=
   by
-  apply functor.hext; intro ;
+  apply functor.hext; intro;
   abstract obj_eq 
     ext
     exact ⟨fun ⟨⟨_, _⟩, h, rfl⟩ => h, fun h => ⟨⟨x, trivial⟩, h, rfl⟩⟩
-  intros ; apply Subsingleton.helim; congr 1
+  intros; apply Subsingleton.helim; congr 1
   iterate 2 apply inclusion_top_functor.obj_eq
 #align topological_space.opens.inclusion_top_functor TopologicalSpace.Opens.inclusion_top_functor
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -56,12 +56,6 @@ the morphisms `U ⟶ V` are not just proofs `U ≤ V`, but rather
 -/
 
 
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 instance opensHomHasCoeToFun {U V : Opens X} : CoeFun (U ⟶ V) fun f => U → V :=
   ⟨fun f x => ⟨x, f.le x.2⟩⟩
 #align topological_space.opens.opens_hom_has_coe_to_fun TopologicalSpace.Opens.opensHomHasCoeToFun
@@ -71,12 +65,6 @@ We now construct as morphisms various inclusions of open sets.
 -/
 
 
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 -- This is tedious, but necessary because we decided not to allow Prop as morphisms in a category...
 /-- The inclusion `U ⊓ V ⟶ U` as a morphism in the category of open sets.
 -/
@@ -84,57 +72,30 @@ def infLELeft (U V : Opens X) : U ⊓ V ⟶ U :=
   inf_le_left.Hom
 #align topological_space.opens.inf_le_left TopologicalSpace.Opens.infLELeft
 
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 /-- The inclusion `U ⊓ V ⟶ V` as a morphism in the category of open sets.
 -/
 def infLERight (U V : Opens X) : U ⊓ V ⟶ V :=
   inf_le_right.Hom
 #align topological_space.opens.inf_le_right TopologicalSpace.Opens.infLERight
 
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 /-- The inclusion `U i ⟶ supr U` as a morphism in the category of open sets.
 -/
 def leSupr {ι : Type _} (U : ι → Opens X) (i : ι) : U i ⟶ iSup U :=
   (le_iSup U i).Hom
 #align topological_space.opens.le_supr TopologicalSpace.Opens.leSupr
 
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 /-- The inclusion `⊥ ⟶ U` as a morphism in the category of open sets.
 -/
 def botLE (U : Opens X) : ⊥ ⟶ U :=
   bot_le.Hom
 #align topological_space.opens.bot_le TopologicalSpace.Opens.botLE
 
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 /-- The inclusion `U ⟶ ⊤` as a morphism in the category of open sets.
 -/
 def leTop (U : Opens X) : U ⟶ ⊤ :=
   le_top.Hom
 #align topological_space.opens.le_top TopologicalSpace.Opens.leTop
 
-/- warning: topological_space.opens.inf_le_left_apply -> TopologicalSpace.Opens.infLELeft_apply is a dubious translation:
-<too large>
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 -- We do not mark this as a simp lemma because it breaks open `x`.
 -- Nevertheless, it is useful in `sheaf_of_functions`.
 theorem infLELeft_apply (U V : Opens X) (x) :
@@ -142,30 +103,18 @@ theorem infLELeft_apply (U V : Opens X) (x) :
   rfl
 #align topological_space.opens.inf_le_left_apply TopologicalSpace.Opens.infLELeft_apply
 
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 @[simp]
 theorem infLELeft_apply_mk (U V : Opens X) (x) (m) :
     (infLELeft U V) ⟨x, m⟩ = ⟨x, (@inf_le_left _ _ U V : _ ≤ _) m⟩ :=
   rfl
 #align topological_space.opens.inf_le_left_apply_mk TopologicalSpace.Opens.infLELeft_apply_mk
 
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 @[simp]
 theorem leSupr_apply_mk {ι : Type _} (U : ι → Opens X) (i : ι) (x) (m) :
     (leSupr U i) ⟨x, m⟩ = ⟨x, (le_iSup U i : _) m⟩ :=
   rfl
 #align topological_space.opens.le_supr_apply_mk TopologicalSpace.Opens.leSupr_apply_mk
 
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 /-- The functor from open sets in `X` to `Top`,
 realising each open set as a topological space itself.
 -/
@@ -177,21 +126,12 @@ def toTopCat (X : TopCat.{u}) : Opens X ⥤ TopCat
       (Embedding.continuous_iff embedding_subtype_val).2 continuous_induced_dom⟩
 #align topological_space.opens.to_Top TopologicalSpace.Opens.toTopCat
 
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 @[simp]
 theorem toTopCat_map (X : TopCat.{u}) {U V : Opens X} {f : U ⟶ V} {x} {h} :
     ((toTopCat X).map f) ⟨x, h⟩ = ⟨x, f.le h⟩ :=
   rfl
 #align topological_space.opens.to_Top_map TopologicalSpace.Opens.toTopCat_map
 
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 /-- The inclusion map from an open subset to the whole space, as a morphism in `Top`.
 -/
 @[simps (config := { fullyApplied := false })]
@@ -201,19 +141,10 @@ def inclusion {X : TopCat.{u}} (U : Opens X) : (toTopCat X).obj U ⟶ X
   continuous_toFun := continuous_subtype_val
 #align topological_space.opens.inclusion TopologicalSpace.Opens.inclusion
 
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-<too large>
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 theorem openEmbedding {X : TopCat.{u}} (U : Opens X) : OpenEmbedding (inclusion U) :=
   IsOpen.openEmbedding_subtype_val U.2
 #align topological_space.opens.open_embedding TopologicalSpace.Opens.openEmbedding
 
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 /-- The inclusion of the top open subset (i.e. the whole space) is an isomorphism.
 -/
 def inclusionTopIso (X : TopCat.{u}) : (toTopCat X).obj ⊤ ≅ X
@@ -222,12 +153,6 @@ def inclusionTopIso (X : TopCat.{u}) : (toTopCat X).obj ⊤ ≅ X
   inv := ⟨fun x => ⟨x, trivial⟩, continuous_def.2 fun U ⟨S, hS, hSU⟩ => hSU ▸ hS⟩
 #align topological_space.opens.inclusion_top_iso TopologicalSpace.Opens.inclusionTopIso
 
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 /-- `opens.map f` gives the functor from open sets in Y to open set in X,
     given by taking preimages under f. -/
 def map (f : X ⟶ Y) : Opens Y ⥤ Opens X
@@ -236,120 +161,72 @@ def map (f : X ⟶ Y) : Opens Y ⥤ Opens X
   map U V i := ⟨⟨fun x h => i.le h⟩⟩
 #align topological_space.opens.map TopologicalSpace.Opens.map
 
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 theorem map_coe (f : X ⟶ Y) (U : Opens Y) : ↑((map f).obj U) = f ⁻¹' U :=
   rfl
 #align topological_space.opens.map_coe TopologicalSpace.Opens.map_coe
 
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 @[simp]
 theorem map_obj (f : X ⟶ Y) (U) (p) : (map f).obj ⟨U, p⟩ = ⟨f ⁻¹' U, p.preimage f.Continuous⟩ :=
   rfl
 #align topological_space.opens.map_obj TopologicalSpace.Opens.map_obj
 
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-Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_id_obj TopologicalSpace.Opens.map_id_objₓ'. -/
 @[simp]
 theorem map_id_obj (U : Opens X) : (map (𝟙 X)).obj U = U :=
   let ⟨_, _⟩ := U
   rfl
 #align topological_space.opens.map_id_obj TopologicalSpace.Opens.map_id_obj
 
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 @[simp]
 theorem map_id_obj' (U) (p) : (map (𝟙 X)).obj ⟨U, p⟩ = ⟨U, p⟩ :=
   rfl
 #align topological_space.opens.map_id_obj' TopologicalSpace.Opens.map_id_obj'
 
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(CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X))) (Opposite.unop.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) U)) (Opposite.unop.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) U)
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_id_obj_unop TopologicalSpace.Opens.map_id_obj_unopₓ'. -/
 @[simp]
 theorem map_id_obj_unop (U : (Opens X)ᵒᵖ) : (map (𝟙 X)).obj (unop U) = unop U :=
   let ⟨_, _⟩ := U.unop
   rfl
 #align topological_space.opens.map_id_obj_unop TopologicalSpace.Opens.map_id_obj_unop
 
-/- warning: topological_space.opens.op_map_id_obj -> TopologicalSpace.Opens.op_map_id_obj is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.op_map_id_obj TopologicalSpace.Opens.op_map_id_objₓ'. -/
 @[simp]
 theorem op_map_id_obj (U : (Opens X)ᵒᵖ) : (map (𝟙 X)).op.obj U = U := by simp
 #align topological_space.opens.op_map_id_obj TopologicalSpace.Opens.op_map_id_obj
 
-/- warning: topological_space.opens.le_map_top -> TopologicalSpace.Opens.leMapTop is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.le_map_top TopologicalSpace.Opens.leMapTopₓ'. -/
 /-- The inclusion `U ⟶ (map f).obj ⊤` as a morphism in the category of open sets.
 -/
 def leMapTop (f : X ⟶ Y) (U : Opens X) : U ⟶ (map f).obj ⊤ :=
   leTop U
 #align topological_space.opens.le_map_top TopologicalSpace.Opens.leMapTop
 
-/- warning: topological_space.opens.map_comp_obj -> TopologicalSpace.Opens.map_comp_obj is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp_obj TopologicalSpace.Opens.map_comp_objₓ'. -/
 @[simp]
 theorem map_comp_obj (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
     (map (f ≫ g)).obj U = (map f).obj ((map g).obj U) :=
   rfl
 #align topological_space.opens.map_comp_obj TopologicalSpace.Opens.map_comp_obj
 
-/- warning: topological_space.opens.map_comp_obj' -> TopologicalSpace.Opens.map_comp_obj' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp_obj' TopologicalSpace.Opens.map_comp_obj'ₓ'. -/
 @[simp]
 theorem map_comp_obj' (f : X ⟶ Y) (g : Y ⟶ Z) (U) (p) :
     (map (f ≫ g)).obj ⟨U, p⟩ = (map f).obj ((map g).obj ⟨U, p⟩) :=
   rfl
 #align topological_space.opens.map_comp_obj' TopologicalSpace.Opens.map_comp_obj'
 
-/- warning: topological_space.opens.map_comp_map -> TopologicalSpace.Opens.map_comp_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp_map TopologicalSpace.Opens.map_comp_mapₓ'. -/
 @[simp]
 theorem map_comp_map (f : X ⟶ Y) (g : Y ⟶ Z) {U V} (i : U ⟶ V) :
     (map (f ≫ g)).map i = (map f).map ((map g).map i) :=
   rfl
 #align topological_space.opens.map_comp_map TopologicalSpace.Opens.map_comp_map
 
-/- warning: topological_space.opens.map_comp_obj_unop -> TopologicalSpace.Opens.map_comp_obj_unop is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp_obj_unop TopologicalSpace.Opens.map_comp_obj_unopₓ'. -/
 @[simp]
 theorem map_comp_obj_unop (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
     (map (f ≫ g)).obj (unop U) = (map f).obj ((map g).obj (unop U)) :=
   rfl
 #align topological_space.opens.map_comp_obj_unop TopologicalSpace.Opens.map_comp_obj_unop
 
-/- warning: topological_space.opens.op_map_comp_obj -> TopologicalSpace.Opens.op_map_comp_obj is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.op_map_comp_obj TopologicalSpace.Opens.op_map_comp_objₓ'. -/
 @[simp]
 theorem op_map_comp_obj (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
     (map (f ≫ g)).op.obj U = (map f).op.obj ((map g).op.obj U) :=
   rfl
 #align topological_space.opens.op_map_comp_obj TopologicalSpace.Opens.op_map_comp_obj
 
-/- warning: topological_space.opens.map_supr -> TopologicalSpace.Opens.map_iSup is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_supr TopologicalSpace.Opens.map_iSupₓ'. -/
 theorem map_iSup (f : X ⟶ Y) {ι : Type _} (U : ι → Opens Y) :
     (map f).obj (iSup U) = iSup ((map f).obj ∘ U) :=
   by
@@ -361,9 +238,6 @@ section
 
 variable (X)
 
-/- warning: topological_space.opens.map_id -> TopologicalSpace.Opens.mapId is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_id TopologicalSpace.Opens.mapIdₓ'. -/
 /-- The functor `opens X ⥤ opens X` given by taking preimages under the identity function
 is naturally isomorphic to the identity functor.
 -/
@@ -374,20 +248,11 @@ def mapId : map (𝟙 X) ≅ 𝟭 (Opens X)
   inv := { app := fun U => eqToHom (map_id_obj U).symm }
 #align topological_space.opens.map_id TopologicalSpace.Opens.mapId
 
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-Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_id_eq TopologicalSpace.Opens.map_id_eqₓ'. -/
 theorem map_id_eq : map (𝟙 X) = 𝟭 (Opens X) := by unfold map; congr ; ext; rfl; ext
 #align topological_space.opens.map_id_eq TopologicalSpace.Opens.map_id_eq
 
 end
 
-/- warning: topological_space.opens.map_comp -> TopologicalSpace.Opens.mapComp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp TopologicalSpace.Opens.mapCompₓ'. -/
 /-- The natural isomorphism between taking preimages under `f ≫ g`, and the composite
 of taking preimages under `g`, then preimages under `f`.
 -/
@@ -398,19 +263,10 @@ def mapComp (f : X ⟶ Y) (g : Y ⟶ Z) : map (f ≫ g) ≅ map g ⋙ map f
   inv := { app := fun U => eqToHom (map_comp_obj f g U).symm }
 #align topological_space.opens.map_comp TopologicalSpace.Opens.mapComp
 
-/- warning: topological_space.opens.map_comp_eq -> TopologicalSpace.Opens.map_comp_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp_eq TopologicalSpace.Opens.map_comp_eqₓ'. -/
 theorem map_comp_eq (f : X ⟶ Y) (g : Y ⟶ Z) : map (f ≫ g) = map g ⋙ map f :=
   rfl
 #align topological_space.opens.map_comp_eq TopologicalSpace.Opens.map_comp_eq
 
-/- warning: topological_space.opens.map_iso -> TopologicalSpace.Opens.mapIso is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_iso TopologicalSpace.Opens.mapIsoₓ'. -/
 -- We could make `f g` implicit here, but it's nice to be able to see when
 -- they are the identity (often!)
 /-- If two continuous maps `f g : X ⟶ Y` are equal,
@@ -421,36 +277,21 @@ def mapIso (f g : X ⟶ Y) (h : f = g) : map f ≅ map g :=
     (by obviously)
 #align topological_space.opens.map_iso TopologicalSpace.Opens.mapIso
 
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 theorem map_eq (f g : X ⟶ Y) (h : f = g) : map f = map g := by unfold map; congr ; ext; rw [h];
   rw [h]; assumption'
 #align topological_space.opens.map_eq TopologicalSpace.Opens.map_eq
 
-/- warning: topological_space.opens.map_iso_refl -> TopologicalSpace.Opens.mapIso_refl is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_iso_refl TopologicalSpace.Opens.mapIso_reflₓ'. -/
 @[simp]
 theorem mapIso_refl (f : X ⟶ Y) (h) : mapIso f f h = Iso.refl (map _) :=
   rfl
 #align topological_space.opens.map_iso_refl TopologicalSpace.Opens.mapIso_refl
 
-/- warning: topological_space.opens.map_iso_hom_app -> TopologicalSpace.Opens.mapIso_hom_app is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_iso_hom_app TopologicalSpace.Opens.mapIso_hom_appₓ'. -/
 @[simp]
 theorem mapIso_hom_app (f g : X ⟶ Y) (h : f = g) (U : Opens Y) :
     (mapIso f g h).Hom.app U = eqToHom (congr_fun (congr_arg Functor.obj (congr_arg map h)) U) :=
   rfl
 #align topological_space.opens.map_iso_hom_app TopologicalSpace.Opens.mapIso_hom_app
 
-/- warning: topological_space.opens.map_iso_inv_app -> TopologicalSpace.Opens.mapIso_inv_app is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_iso_inv_app TopologicalSpace.Opens.mapIso_inv_appₓ'. -/
 @[simp]
 theorem mapIso_inv_app (f g : X ⟶ Y) (h : f = g) (U : Opens Y) :
     (mapIso f g h).inv.app U =
@@ -458,12 +299,6 @@ theorem mapIso_inv_app (f g : X ⟶ Y) (h : f = g) (U : Opens Y) :
   rfl
 #align topological_space.opens.map_iso_inv_app TopologicalSpace.Opens.mapIso_inv_app
 
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 /-- A homeomorphism of spaces gives an equivalence of categories of open sets.
 
 TODO: define `order_iso.equivalence`, use it.
@@ -483,12 +318,6 @@ def mapMapIso {X Y : TopCat.{u}} (H : X ≅ Y) : Opens Y ≌ Opens X
 
 end TopologicalSpace.Opens
 
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 /-- An open map `f : X ⟶ Y` induces a functor `opens X ⥤ opens Y`.
 -/
 @[simps]
@@ -498,12 +327,6 @@ def IsOpenMap.functor {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) : Opens X
   map U V h := ⟨⟨Set.image_subset _ h.down.down⟩⟩
 #align is_open_map.functor IsOpenMap.functor
 
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-Case conversion may be inaccurate. Consider using '#align is_open_map.adjunction IsOpenMap.adjunctionₓ'. -/
 /-- An open map `f : X ⟶ Y` induces an adjunction between `opens X` and `opens Y`.
 -/
 def IsOpenMap.adjunction {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) :
@@ -513,12 +336,6 @@ def IsOpenMap.adjunction {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) :
       counit := { app := fun V => homOfLE fun y ⟨x, hfxV, hxy⟩ => hxy ▸ hfxV } }
 #align is_open_map.adjunction IsOpenMap.adjunction
 
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-Case conversion may be inaccurate. Consider using '#align is_open_map.functor_full_of_mono IsOpenMap.functorFullOfMonoₓ'. -/
 instance IsOpenMap.functorFullOfMono {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) [H : Mono f] :
     Full hf.Functor
     where preimage U V i :=
@@ -526,12 +343,6 @@ instance IsOpenMap.functorFullOfMono {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMa
       exact (TopCat.mono_iff_injective f).mp H Eq ▸ hy
 #align is_open_map.functor_full_of_mono IsOpenMap.functorFullOfMono
 
-/- warning: is_open_map.functor_faithful -> IsOpenMap.functor_faithful is a dubious translation:
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align is_open_map.functor_faithful IsOpenMap.functor_faithfulₓ'. -/
 instance IsOpenMap.functor_faithful {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) :
     Faithful hf.Functor where
 #align is_open_map.functor_faithful IsOpenMap.functor_faithful
@@ -540,34 +351,22 @@ namespace TopologicalSpace.Opens
 
 open TopologicalSpace
 
-/- warning: topological_space.opens.open_embedding_obj_top -> TopologicalSpace.Opens.openEmbedding_obj_top is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.open_embedding_obj_top TopologicalSpace.Opens.openEmbedding_obj_topₓ'. -/
 @[simp]
 theorem openEmbedding_obj_top {X : TopCat} (U : Opens X) :
     U.OpenEmbedding.IsOpenMap.Functor.obj ⊤ = U := by ext1;
   exact set.image_univ.trans Subtype.range_coe
 #align topological_space.opens.open_embedding_obj_top TopologicalSpace.Opens.openEmbedding_obj_top
 
-/- warning: topological_space.opens.inclusion_map_eq_top -> TopologicalSpace.Opens.inclusion_map_eq_top is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.inclusion_map_eq_top TopologicalSpace.Opens.inclusion_map_eq_topₓ'. -/
 @[simp]
 theorem inclusion_map_eq_top {X : TopCat} (U : Opens X) : (Opens.map U.inclusion).obj U = ⊤ := by
   ext1; exact Subtype.coe_preimage_self _
 #align topological_space.opens.inclusion_map_eq_top TopologicalSpace.Opens.inclusion_map_eq_top
 
-/- warning: topological_space.opens.adjunction_counit_app_self -> TopologicalSpace.Opens.adjunction_counit_app_self is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.adjunction_counit_app_self TopologicalSpace.Opens.adjunction_counit_app_selfₓ'. -/
 @[simp]
 theorem adjunction_counit_app_self {X : TopCat} (U : Opens X) :
     U.OpenEmbedding.IsOpenMap.Adjunction.counit.app U = eqToHom (by simp) := by ext
 #align topological_space.opens.adjunction_counit_app_self TopologicalSpace.Opens.adjunction_counit_app_self
 
-/- warning: topological_space.opens.inclusion_top_functor -> TopologicalSpace.Opens.inclusion_top_functor is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.inclusion_top_functor TopologicalSpace.Opens.inclusion_top_functorₓ'. -/
 theorem inclusion_top_functor (X : TopCat) :
     (@Opens.openEmbedding X ⊤).IsOpenMap.Functor = map (inclusionTopIso X).inv :=
   by
@@ -579,9 +378,6 @@ theorem inclusion_top_functor (X : TopCat) :
   iterate 2 apply inclusion_top_functor.obj_eq
 #align topological_space.opens.inclusion_top_functor TopologicalSpace.Opens.inclusion_top_functor
 
-/- warning: topological_space.opens.functor_obj_map_obj -> TopologicalSpace.Opens.functor_obj_map_obj is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.functor_obj_map_obj TopologicalSpace.Opens.functor_obj_map_objₓ'. -/
 theorem functor_obj_map_obj {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) (U : Opens Y) :
     hf.Functor.obj ((Opens.map f).obj U) = hf.Functor.obj ⊤ ⊓ U :=
   by
@@ -590,35 +386,23 @@ theorem functor_obj_map_obj {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) (U :
   · rintro ⟨⟨x, -, rfl⟩, hx⟩; exact ⟨x, hx, rfl⟩
 #align topological_space.opens.functor_obj_map_obj TopologicalSpace.Opens.functor_obj_map_obj
 
-/- warning: topological_space.opens.functor_map_eq_inf -> TopologicalSpace.Opens.functor_map_eq_inf is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.functor_map_eq_inf TopologicalSpace.Opens.functor_map_eq_infₓ'. -/
 @[simp]
 theorem functor_map_eq_inf {X : TopCat} (U V : Opens X) :
     U.OpenEmbedding.IsOpenMap.Functor.obj ((Opens.map U.inclusion).obj V) = V ⊓ U := by ext1;
   refine' set.image_preimage_eq_inter_range.trans _; simpa
 #align topological_space.opens.functor_map_eq_inf TopologicalSpace.Opens.functor_map_eq_inf
 
-/- warning: topological_space.opens.map_functor_eq' -> TopologicalSpace.Opens.map_functor_eq' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_functor_eq' TopologicalSpace.Opens.map_functor_eq'ₓ'. -/
 theorem map_functor_eq' {X U : TopCat} (f : U ⟶ X) (hf : OpenEmbedding f) (V) :
     ((Opens.map f).obj <| hf.IsOpenMap.Functor.obj V) = V :=
   Opens.ext <| Set.preimage_image_eq _ hf.inj
 #align topological_space.opens.map_functor_eq' TopologicalSpace.Opens.map_functor_eq'
 
-/- warning: topological_space.opens.map_functor_eq -> TopologicalSpace.Opens.map_functor_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_functor_eq TopologicalSpace.Opens.map_functor_eqₓ'. -/
 @[simp]
 theorem map_functor_eq {X : TopCat} {U : Opens X} (V : Opens U) :
     ((Opens.map U.inclusion).obj <| U.OpenEmbedding.IsOpenMap.Functor.obj V) = V :=
   TopologicalSpace.Opens.map_functor_eq' _ U.OpenEmbedding V
 #align topological_space.opens.map_functor_eq TopologicalSpace.Opens.map_functor_eq
 
-/- warning: topological_space.opens.adjunction_counit_map_functor -> TopologicalSpace.Opens.adjunction_counit_map_functor is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.adjunction_counit_map_functor TopologicalSpace.Opens.adjunction_counit_map_functorₓ'. -/
 @[simp]
 theorem adjunction_counit_map_functor {X : TopCat} {U : Opens X} (V : Opens U) :
     U.OpenEmbedding.IsOpenMap.Adjunction.counit.app (U.OpenEmbedding.IsOpenMap.Functor.obj V) =

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -380,13 +380,7 @@ lean 3 declaration is
 but is expected to have type
   forall (X : TopCat.{u1}), Eq.{succ u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X)) (CategoryTheory.Functor.id.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_id_eq TopologicalSpace.Opens.map_id_eqₓ'. -/
-theorem map_id_eq : map (𝟙 X) = 𝟭 (Opens X) :=
-  by
-  unfold map
-  congr
-  ext
-  rfl
-  ext
+theorem map_id_eq : map (𝟙 X) = 𝟭 (Opens X) := by unfold map; congr ; ext; rfl; ext
 #align topological_space.opens.map_id_eq TopologicalSpace.Opens.map_id_eq
 
 end
@@ -433,14 +427,8 @@ lean 3 declaration is
 but is expected to have type
   forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y), (Eq.{succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) f g) -> (Eq.{succ u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (TopologicalSpace.Opens.map.{u1} X Y f) (TopologicalSpace.Opens.map.{u1} X Y g))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_eq TopologicalSpace.Opens.map_eqₓ'. -/
-theorem map_eq (f g : X ⟶ Y) (h : f = g) : map f = map g :=
-  by
-  unfold map
-  congr
-  ext
-  rw [h]
-  rw [h]
-  assumption'
+theorem map_eq (f g : X ⟶ Y) (h : f = g) : map f = map g := by unfold map; congr ; ext; rw [h];
+  rw [h]; assumption'
 #align topological_space.opens.map_eq TopologicalSpace.Opens.map_eq
 
 /- warning: topological_space.opens.map_iso_refl -> TopologicalSpace.Opens.mapIso_refl is a dubious translation:
@@ -487,14 +475,10 @@ def mapMapIso {X Y : TopCat.{u}} (H : X ≅ Y) : Opens Y ≌ Opens X
   inverse := map H.inv
   unitIso :=
     NatIso.ofComponents (fun U => eqToIso (by simp [map, Set.preimage_preimage]))
-      (by
-        intro _ _ _
-        simp)
+      (by intro _ _ _; simp)
   counitIso :=
     NatIso.ofComponents (fun U => eqToIso (by simp [map, Set.preimage_preimage]))
-      (by
-        intro _ _ _
-        simp)
+      (by intro _ _ _; simp)
 #align topological_space.opens.map_map_iso TopologicalSpace.Opens.mapMapIso
 
 end TopologicalSpace.Opens
@@ -538,8 +522,7 @@ Case conversion may be inaccurate. Consider using '#align is_open_map.functor_fu
 instance IsOpenMap.functorFullOfMono {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) [H : Mono f] :
     Full hf.Functor
     where preimage U V i :=
-    homOfLE fun x hx => by
-      obtain ⟨y, hy, eq⟩ := i.le ⟨x, hx, rfl⟩
+    homOfLE fun x hx => by obtain ⟨y, hy, eq⟩ := i.le ⟨x, hx, rfl⟩;
       exact (TopCat.mono_iff_injective f).mp H Eq ▸ hy
 #align is_open_map.functor_full_of_mono IsOpenMap.functorFullOfMono
 
@@ -562,9 +545,7 @@ open TopologicalSpace
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.open_embedding_obj_top TopologicalSpace.Opens.openEmbedding_obj_topₓ'. -/
 @[simp]
 theorem openEmbedding_obj_top {X : TopCat} (U : Opens X) :
-    U.OpenEmbedding.IsOpenMap.Functor.obj ⊤ = U :=
-  by
-  ext1
+    U.OpenEmbedding.IsOpenMap.Functor.obj ⊤ = U := by ext1;
   exact set.image_univ.trans Subtype.range_coe
 #align topological_space.opens.open_embedding_obj_top TopologicalSpace.Opens.openEmbedding_obj_top
 
@@ -572,10 +553,8 @@ theorem openEmbedding_obj_top {X : TopCat} (U : Opens X) :
 <too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.inclusion_map_eq_top TopologicalSpace.Opens.inclusion_map_eq_topₓ'. -/
 @[simp]
-theorem inclusion_map_eq_top {X : TopCat} (U : Opens X) : (Opens.map U.inclusion).obj U = ⊤ :=
-  by
-  ext1
-  exact Subtype.coe_preimage_self _
+theorem inclusion_map_eq_top {X : TopCat} (U : Opens X) : (Opens.map U.inclusion).obj U = ⊤ := by
+  ext1; exact Subtype.coe_preimage_self _
 #align topological_space.opens.inclusion_map_eq_top TopologicalSpace.Opens.inclusion_map_eq_top
 
 /- warning: topological_space.opens.adjunction_counit_app_self -> TopologicalSpace.Opens.adjunction_counit_app_self is a dubious translation:
@@ -607,10 +586,8 @@ theorem functor_obj_map_obj {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) (U :
     hf.Functor.obj ((Opens.map f).obj U) = hf.Functor.obj ⊤ ⊓ U :=
   by
   ext; constructor
-  · rintro ⟨x, hx, rfl⟩
-    exact ⟨⟨x, trivial, rfl⟩, hx⟩
-  · rintro ⟨⟨x, -, rfl⟩, hx⟩
-    exact ⟨x, hx, rfl⟩
+  · rintro ⟨x, hx, rfl⟩; exact ⟨⟨x, trivial, rfl⟩, hx⟩
+  · rintro ⟨⟨x, -, rfl⟩, hx⟩; exact ⟨x, hx, rfl⟩
 #align topological_space.opens.functor_obj_map_obj TopologicalSpace.Opens.functor_obj_map_obj
 
 /- warning: topological_space.opens.functor_map_eq_inf -> TopologicalSpace.Opens.functor_map_eq_inf is a dubious translation:
@@ -618,11 +595,8 @@ theorem functor_obj_map_obj {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) (U :
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.functor_map_eq_inf TopologicalSpace.Opens.functor_map_eq_infₓ'. -/
 @[simp]
 theorem functor_map_eq_inf {X : TopCat} (U V : Opens X) :
-    U.OpenEmbedding.IsOpenMap.Functor.obj ((Opens.map U.inclusion).obj V) = V ⊓ U :=
-  by
-  ext1
-  refine' set.image_preimage_eq_inter_range.trans _
-  simpa
+    U.OpenEmbedding.IsOpenMap.Functor.obj ((Opens.map U.inclusion).obj V) = V ⊓ U := by ext1;
+  refine' set.image_preimage_eq_inter_range.trans _; simpa
 #align topological_space.opens.functor_map_eq_inf TopologicalSpace.Opens.functor_map_eq_inf
 
 /- warning: topological_space.opens.map_functor_eq' -> TopologicalSpace.Opens.map_functor_eq' is a dubious translation:
@@ -648,10 +622,7 @@ Case conversion may be inaccurate. Consider using '#align topological_space.open
 @[simp]
 theorem adjunction_counit_map_functor {X : TopCat} {U : Opens X} (V : Opens U) :
     U.OpenEmbedding.IsOpenMap.Adjunction.counit.app (U.OpenEmbedding.IsOpenMap.Functor.obj V) =
-      eqToHom
-        (by
-          conv_rhs => rw [← V.map_functor_eq]
-          rfl) :=
+      eqToHom (by conv_rhs => rw [← V.map_functor_eq]; rfl) :=
   by ext
 #align topological_space.opens.adjunction_counit_map_functor TopologicalSpace.Opens.adjunction_counit_map_functor
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -133,10 +133,7 @@ def leTop (U : Opens X) : U ⟶ ⊤ :=
 #align topological_space.opens.le_top TopologicalSpace.Opens.leTop
 
 /- warning: topological_space.opens.inf_le_left_apply -> TopologicalSpace.Opens.infLELeft_apply is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.inf_le_left_apply TopologicalSpace.Opens.infLELeft_applyₓ'. -/
 -- We do not mark this as a simp lemma because it breaks open `x`.
 -- Nevertheless, it is useful in `sheaf_of_functions`.
@@ -146,10 +143,7 @@ theorem infLELeft_apply (U V : Opens X) (x) :
 #align topological_space.opens.inf_le_left_apply TopologicalSpace.Opens.infLELeft_apply
 
 /- warning: topological_space.opens.inf_le_left_apply_mk -> TopologicalSpace.Opens.infLELeft_apply_mk is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.inf_le_left_apply_mk TopologicalSpace.Opens.infLELeft_apply_mkₓ'. -/
 @[simp]
 theorem infLELeft_apply_mk (U V : Opens X) (x) (m) :
@@ -158,10 +152,7 @@ theorem infLELeft_apply_mk (U V : Opens X) (x) (m) :
 #align topological_space.opens.inf_le_left_apply_mk TopologicalSpace.Opens.infLELeft_apply_mk
 
 /- warning: topological_space.opens.le_supr_apply_mk -> TopologicalSpace.Opens.leSupr_apply_mk is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.le_supr_apply_mk TopologicalSpace.Opens.leSupr_apply_mkₓ'. -/
 @[simp]
 theorem leSupr_apply_mk {ι : Type _} (U : ι → Opens X) (i : ι) (x) (m) :
@@ -187,10 +178,7 @@ def toTopCat (X : TopCat.{u}) : Opens X ⥤ TopCat
 #align topological_space.opens.to_Top TopologicalSpace.Opens.toTopCat
 
 /- warning: topological_space.opens.to_Top_map -> TopologicalSpace.Opens.toTopCat_map is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.to_Top_map TopologicalSpace.Opens.toTopCat_mapₓ'. -/
 @[simp]
 theorem toTopCat_map (X : TopCat.{u}) {U V : Opens X} {f : U ⟶ V} {x} {h} :
@@ -214,10 +202,7 @@ def inclusion {X : TopCat.{u}} (U : Opens X) : (toTopCat X).obj U ⟶ X
 #align topological_space.opens.inclusion TopologicalSpace.Opens.inclusion
 
 /- warning: topological_space.opens.open_embedding -> TopologicalSpace.Opens.openEmbedding is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.open_embedding TopologicalSpace.Opens.openEmbeddingₓ'. -/
 theorem openEmbedding {X : TopCat.{u}} (U : Opens X) : OpenEmbedding (inclusion U) :=
   IsOpen.openEmbedding_subtype_val U.2
@@ -252,20 +237,14 @@ def map (f : X ⟶ Y) : Opens Y ⥤ Opens X
 #align topological_space.opens.map TopologicalSpace.Opens.map
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_coe TopologicalSpace.Opens.map_coeₓ'. -/
 theorem map_coe (f : X ⟶ Y) (U : Opens Y) : ↑((map f).obj U) = f ⁻¹' U :=
   rfl
 #align topological_space.opens.map_coe TopologicalSpace.Opens.map_coe
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_obj TopologicalSpace.Opens.map_objₓ'. -/
 @[simp]
 theorem map_obj (f : X ⟶ Y) (U) (p) : (map f).obj ⟨U, p⟩ = ⟨f ⁻¹' U, p.preimage f.Continuous⟩ :=
@@ -308,20 +287,14 @@ theorem map_id_obj_unop (U : (Opens X)ᵒᵖ) : (map (𝟙 X)).obj (unop U) = un
 #align topological_space.opens.map_id_obj_unop TopologicalSpace.Opens.map_id_obj_unop
 
 /- warning: topological_space.opens.op_map_id_obj -> TopologicalSpace.Opens.op_map_id_obj is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.op_map_id_obj TopologicalSpace.Opens.op_map_id_objₓ'. -/
 @[simp]
 theorem op_map_id_obj (U : (Opens X)ᵒᵖ) : (map (𝟙 X)).op.obj U = U := by simp
 #align topological_space.opens.op_map_id_obj TopologicalSpace.Opens.op_map_id_obj
 
 /- warning: topological_space.opens.le_map_top -> TopologicalSpace.Opens.leMapTop is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.le_map_top TopologicalSpace.Opens.leMapTopₓ'. -/
 /-- The inclusion `U ⟶ (map f).obj ⊤` as a morphism in the category of open sets.
 -/
@@ -330,10 +303,7 @@ def leMapTop (f : X ⟶ Y) (U : Opens X) : U ⟶ (map f).obj ⊤ :=
 #align topological_space.opens.le_map_top TopologicalSpace.Opens.leMapTop
 
 /- warning: topological_space.opens.map_comp_obj -> TopologicalSpace.Opens.map_comp_obj is a dubious translation:
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-but is expected to have type
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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp_obj TopologicalSpace.Opens.map_comp_objₓ'. -/
 @[simp]
 theorem map_comp_obj (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
@@ -342,10 +312,7 @@ theorem map_comp_obj (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
 #align topological_space.opens.map_comp_obj TopologicalSpace.Opens.map_comp_obj
 
 /- warning: topological_space.opens.map_comp_obj' -> TopologicalSpace.Opens.map_comp_obj' is a dubious translation:
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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.map.{u1} Y Z g)) (TopologicalSpace.Opens.mk.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z) U p)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp_obj' TopologicalSpace.Opens.map_comp_obj'ₓ'. -/
 @[simp]
 theorem map_comp_obj' (f : X ⟶ Y) (g : Y ⟶ Z) (U) (p) :
@@ -354,10 +321,7 @@ theorem map_comp_obj' (f : X ⟶ Y) (g : Y ⟶ Z) (U) (p) :
 #align topological_space.opens.map_comp_obj' TopologicalSpace.Opens.map_comp_obj'
 
 /- warning: topological_space.opens.map_comp_map -> TopologicalSpace.Opens.map_comp_map is a dubious translation:
-lean 3 declaration is
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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))))) U V), Eq.{succ u1} (Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Z (CategoryTheory.CategoryStruct.comp.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X Y Z f g))) U) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))) 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(CategoryTheory.CategoryStruct.comp.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X Y Z f g))) V)) (Prefunctor.map.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) 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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp_map TopologicalSpace.Opens.map_comp_mapₓ'. -/
 @[simp]
 theorem map_comp_map (f : X ⟶ Y) (g : Y ⟶ Z) {U V} (i : U ⟶ V) :
@@ -366,10 +330,7 @@ theorem map_comp_map (f : X ⟶ Y) (g : Y ⟶ Z) {U V} (i : U ⟶ V) :
 #align topological_space.opens.map_comp_map TopologicalSpace.Opens.map_comp_map
 
 /- warning: topological_space.opens.map_comp_obj_unop -> TopologicalSpace.Opens.map_comp_obj_unop is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp_obj_unop TopologicalSpace.Opens.map_comp_obj_unopₓ'. -/
 @[simp]
 theorem map_comp_obj_unop (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
@@ -378,10 +339,7 @@ theorem map_comp_obj_unop (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
 #align topological_space.opens.map_comp_obj_unop TopologicalSpace.Opens.map_comp_obj_unop
 
 /- warning: topological_space.opens.op_map_comp_obj -> TopologicalSpace.Opens.op_map_comp_obj is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.op_map_comp_obj TopologicalSpace.Opens.op_map_comp_objₓ'. -/
 @[simp]
 theorem op_map_comp_obj (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
@@ -390,10 +348,7 @@ theorem op_map_comp_obj (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
 #align topological_space.opens.op_map_comp_obj TopologicalSpace.Opens.op_map_comp_obj
 
 /- warning: topological_space.opens.map_supr -> TopologicalSpace.Opens.map_iSup is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_supr TopologicalSpace.Opens.map_iSupₓ'. -/
 theorem map_iSup (f : X ⟶ Y) {ι : Type _} (U : ι → Opens Y) :
     (map f).obj (iSup U) = iSup ((map f).obj ∘ U) :=
@@ -407,10 +362,7 @@ section
 variable (X)
 
 /- warning: topological_space.opens.map_id -> TopologicalSpace.Opens.mapId is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_id TopologicalSpace.Opens.mapIdₓ'. -/
 /-- The functor `opens X ⥤ opens X` given by taking preimages under the identity function
 is naturally isomorphic to the identity functor.
@@ -440,10 +392,7 @@ theorem map_id_eq : map (𝟙 X) = 𝟭 (Opens X) :=
 end
 
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 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp TopologicalSpace.Opens.mapCompₓ'. -/
 /-- The natural isomorphism between taking preimages under `f ≫ g`, and the composite
 of taking preimages under `g`, then preimages under `f`.
@@ -456,10 +405,7 @@ def mapComp (f : X ⟶ Y) (g : Y ⟶ Z) : map (f ≫ g) ≅ map g ⋙ map f
 #align topological_space.opens.map_comp TopologicalSpace.Opens.mapComp
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp_eq TopologicalSpace.Opens.map_comp_eqₓ'. -/
 theorem map_comp_eq (f : X ⟶ Y) (g : Y ⟶ Z) : map (f ≫ g) = map g ⋙ map f :=
   rfl
@@ -498,10 +444,7 @@ theorem map_eq (f g : X ⟶ Y) (h : f = g) : map f = map g :=
 #align topological_space.opens.map_eq TopologicalSpace.Opens.map_eq
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_iso_refl TopologicalSpace.Opens.mapIso_reflₓ'. -/
 @[simp]
 theorem mapIso_refl (f : X ⟶ Y) (h) : mapIso f f h = Iso.refl (map _) :=
@@ -509,10 +452,7 @@ theorem mapIso_refl (f : X ⟶ Y) (h) : mapIso f f h = Iso.refl (map _) :=
 #align topological_space.opens.map_iso_refl TopologicalSpace.Opens.mapIso_refl
 
 /- warning: topological_space.opens.map_iso_hom_app -> TopologicalSpace.Opens.mapIso_hom_app is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_iso_hom_app TopologicalSpace.Opens.mapIso_hom_appₓ'. -/
 @[simp]
 theorem mapIso_hom_app (f g : X ⟶ Y) (h : f = g) (U : Opens Y) :
@@ -521,10 +461,7 @@ theorem mapIso_hom_app (f g : X ⟶ Y) (h : f = g) (U : Opens Y) :
 #align topological_space.opens.map_iso_hom_app TopologicalSpace.Opens.mapIso_hom_app
 
 /- warning: topological_space.opens.map_iso_inv_app -> TopologicalSpace.Opens.mapIso_inv_app is a dubious translation:
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-but is expected to have type
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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) U))) g h)) (Eq.refl.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y g)) U))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_iso_inv_app TopologicalSpace.Opens.mapIso_inv_appₓ'. -/
 @[simp]
 theorem mapIso_inv_app (f g : X ⟶ Y) (h : f = g) (U : Opens Y) :
@@ -621,10 +558,7 @@ namespace TopologicalSpace.Opens
 open TopologicalSpace
 
 /- warning: topological_space.opens.open_embedding_obj_top -> TopologicalSpace.Opens.openEmbedding_obj_top is a dubious translation:
-lean 3 declaration is
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-but is expected to have type
-  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)))))) U
+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.open_embedding_obj_top TopologicalSpace.Opens.openEmbedding_obj_topₓ'. -/
 @[simp]
 theorem openEmbedding_obj_top {X : TopCat} (U : Opens X) :
@@ -635,10 +569,7 @@ theorem openEmbedding_obj_top {X : TopCat} (U : Opens X) :
 #align topological_space.opens.open_embedding_obj_top TopologicalSpace.Opens.openEmbedding_obj_top
 
 /- warning: topological_space.opens.inclusion_map_eq_top -> TopologicalSpace.Opens.inclusion_map_eq_top is a dubious translation:
-lean 3 declaration is
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u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) TopCat.{u1} TopCat.largeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X) U)))))
-but is expected to have type
-  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.inclusion_map_eq_top TopologicalSpace.Opens.inclusion_map_eq_topₓ'. -/
 @[simp]
 theorem inclusion_map_eq_top {X : TopCat} (U : Opens X) : (Opens.map U.inclusion).obj U = ⊤ :=
@@ -648,10 +579,7 @@ theorem inclusion_map_eq_top {X : TopCat} (U : Opens X) : (Opens.map U.inclusion
 #align topological_space.opens.inclusion_map_eq_top TopologicalSpace.Opens.inclusion_map_eq_top
 
 /- warning: topological_space.opens.adjunction_counit_app_self -> TopologicalSpace.Opens.adjunction_counit_app_self is a dubious translation:
-lean 3 declaration is
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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (CategoryTheory.Functor.id.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) U)) (CategoryTheory.NatTrans.app.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} 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(TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) 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TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U)) U) (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) U U) True (congrFun.{succ u1, 1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (fun (a._@.Init.Prelude._hyg.170 : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) => Prop) (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) 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(TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U))) (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) U) (congrArg.{succ u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) ((TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) -> Prop) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U)) U (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (Eq.trans.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)))))) U (congrArg.{succ u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.adjunction_counit_app_self TopologicalSpace.Opens.adjunction_counit_app_selfₓ'. -/
 @[simp]
 theorem adjunction_counit_app_self {X : TopCat} (U : Opens X) :
@@ -659,10 +587,7 @@ theorem adjunction_counit_app_self {X : TopCat} (U : Opens X) :
 #align topological_space.opens.adjunction_counit_app_self TopologicalSpace.Opens.adjunction_counit_app_self
 
 /- warning: topological_space.opens.inclusion_top_functor -> TopologicalSpace.Opens.inclusion_top_functor is a dubious translation:
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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) X (TopologicalSpace.Opens.inclusion.{u1} X (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (TopCat.topologicalSpace_forget.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.inclusion_top_functor TopologicalSpace.Opens.inclusion_top_functorₓ'. -/
 theorem inclusion_top_functor (X : TopCat) :
     (@Opens.openEmbedding X ⊤).IsOpenMap.Functor = map (inclusionTopIso X).inv :=
@@ -676,10 +601,7 @@ theorem inclusion_top_functor (X : TopCat) :
 #align topological_space.opens.inclusion_top_functor TopologicalSpace.Opens.inclusion_top_functor
 
 /- warning: topological_space.opens.functor_obj_map_obj -> TopologicalSpace.Opens.functor_obj_map_obj is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.functor_obj_map_obj TopologicalSpace.Opens.functor_obj_map_objₓ'. -/
 theorem functor_obj_map_obj {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) (U : Opens Y) :
     hf.Functor.obj ((Opens.map f).obj U) = hf.Functor.obj ⊤ ⊓ U :=
@@ -692,10 +614,7 @@ theorem functor_obj_map_obj {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) (U :
 #align topological_space.opens.functor_obj_map_obj TopologicalSpace.Opens.functor_obj_map_obj
 
 /- warning: topological_space.opens.functor_map_eq_inf -> TopologicalSpace.Opens.functor_map_eq_inf is a dubious translation:
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(CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} 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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.functor_map_eq_inf TopologicalSpace.Opens.functor_map_eq_infₓ'. -/
 @[simp]
 theorem functor_map_eq_inf {X : TopCat} (U V : Opens X) :
@@ -707,10 +626,7 @@ theorem functor_map_eq_inf {X : TopCat} (U V : Opens X) :
 #align topological_space.opens.functor_map_eq_inf TopologicalSpace.Opens.functor_map_eq_inf
 
 /- warning: topological_space.opens.map_functor_eq' -> TopologicalSpace.Opens.map_functor_eq' is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_functor_eq' TopologicalSpace.Opens.map_functor_eq'ₓ'. -/
 theorem map_functor_eq' {X U : TopCat} (f : U ⟶ X) (hf : OpenEmbedding f) (V) :
     ((Opens.map f).obj <| hf.IsOpenMap.Functor.obj V) = V :=
@@ -718,10 +634,7 @@ theorem map_functor_eq' {X U : TopCat} (f : U ⟶ X) (hf : OpenEmbedding f) (V)
 #align topological_space.opens.map_functor_eq' TopologicalSpace.Opens.map_functor_eq'
 
 /- warning: topological_space.opens.map_functor_eq -> TopologicalSpace.Opens.map_functor_eq is a dubious translation:
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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} 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X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) 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(TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V)) V
+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_functor_eq TopologicalSpace.Opens.map_functor_eqₓ'. -/
 @[simp]
 theorem map_functor_eq {X : TopCat} {U : Opens X} (V : Opens U) :
@@ -730,10 +643,7 @@ theorem map_functor_eq {X : TopCat} {U : Opens X} (V : Opens U) :
 #align topological_space.opens.map_functor_eq TopologicalSpace.Opens.map_functor_eq
 
 /- warning: topological_space.opens.adjunction_counit_map_functor -> TopologicalSpace.Opens.adjunction_counit_map_functor is a dubious translation:
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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} 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TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U))))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} 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(TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_forget.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} 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(CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U))))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} 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u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) 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(TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V))) (Eq.mpr.{0} (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V)) (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_forget.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V)) (fun (_a : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) => Eq.{1} Prop (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} 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(TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_forget.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_forget.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} 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(TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V))) V (TopologicalSpace.Opens.map_functor_eq.{u1} X U V))) (Eq.refl.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.adjunction_counit_map_functor TopologicalSpace.Opens.adjunction_counit_map_functorₓ'. -/
 @[simp]
 theorem adjunction_counit_map_functor {X : TopCat} {U : Opens X} (V : Opens U) :

mathlib commit https://github.com/leanprover-community/mathlib/commit/0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8

@@ -110,7 +110,7 @@ def leSupr {ι : Type _} (U : ι → Opens X) (i : ι) : U i ⟶ iSup U :=
 
 /- warning: topological_space.opens.bot_le -> TopologicalSpace.Opens.botLE is a dubious translation:
 lean 3 declaration is
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+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))))) (Bot.bot.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (OrderBot.toHasBot.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.toHasLe.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (BoundedOrder.toOrderBot.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.toHasLe.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (CompleteLattice.toBoundedOrder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))) U
 but is expected to have type
   forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (Bot.bot.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toBot.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))) U
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.bot_le TopologicalSpace.Opens.botLEₓ'. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/e3fb84046afd187b710170887195d50bada934ee

@@ -98,14 +98,14 @@ def infLERight (U V : Opens X) : U ⊓ V ⟶ V :=
 
 /- warning: topological_space.opens.le_supr -> TopologicalSpace.Opens.leSupr is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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+  forall {X : TopCat.{u1}} {ι : Type.{u2}} (U : ι -> (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (i : ι), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (U i) (iSup.{u1, succ u2} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toSupSet.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))) ι U)
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.le_supr TopologicalSpace.Opens.leSuprₓ'. -/
 /-- The inclusion `U i ⟶ supr U` as a morphism in the category of open sets.
 -/
-def leSupr {ι : Type _} (U : ι → Opens X) (i : ι) : U i ⟶ supᵢ U :=
-  (le_supᵢ U i).Hom
+def leSupr {ι : Type _} (U : ι → Opens X) (i : ι) : U i ⟶ iSup U :=
+  (le_iSup U i).Hom
 #align topological_space.opens.le_supr TopologicalSpace.Opens.leSupr
 
 /- warning: topological_space.opens.bot_le -> TopologicalSpace.Opens.botLE is a dubious translation:
@@ -159,13 +159,13 @@ theorem infLELeft_apply_mk (U V : Opens X) (x) (m) :
 
 /- warning: topological_space.opens.le_supr_apply_mk -> TopologicalSpace.Opens.leSupr_apply_mk is a dubious translation:
 lean 3 declaration is
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(TopCat.topologicalSpace_coe.{u2} X))) x (U i))) => Subtype.mk.{succ u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (fun (x : CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) => Membership.mem.{u2, u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (SetLike.instMembership.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.instSetLikeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X))) x (supᵢ.{u2, succ u1} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (ConditionallyCompleteLattice.toSupSet.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toConditionallyCompleteLattice.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))) ι U)) (Subtype.val.{succ u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (fun (x : CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) => Membership.mem.{u2, u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (Set.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X)) (Set.instMembershipSet.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X)) x (SetLike.coe.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.instSetLikeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (U i))) x) (TopologicalSpace.Opens.opensHomHasCoeToFun.proof_1.{u2} X (U i) (supᵢ.{u2, succ u1} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (ConditionallyCompleteLattice.toSupSet.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toConditionallyCompleteLattice.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))) ι U) (TopologicalSpace.Opens.leSupr.{u2, u1} X ι U i) x)) (Subtype.mk.{succ u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (fun (x : CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) => Membership.mem.{u2, u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (SetLike.instMembership.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.instSetLikeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X))) x (U i)) x m)) (Subtype.mk.{succ u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (fun (x : CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) => Membership.mem.{u2, u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (SetLike.instMembership.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.instSetLikeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X))) x (supᵢ.{u2, succ u1} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (ConditionallyCompleteLattice.toSupSet.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toConditionallyCompleteLattice.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))) ι U)) x (le_supᵢ.{succ u1, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) ι (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) U i x m))
+  forall {X : TopCat.{u2}} {ι : Type.{u1}} (U : ι -> (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X))) (i : ι) (x : CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (m : Membership.mem.{u2, u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (SetLike.instMembership.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.instSetLikeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X))) x (U i)), Eq.{succ u2} (Subtype.{succ u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (fun (x : CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) => Membership.mem.{u2, u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (SetLike.instMembership.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.instSetLikeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X))) x (iSup.{u2, succ u1} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (ConditionallyCompleteLattice.toSupSet.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toConditionallyCompleteLattice.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))) ι U))) ((fun (x : Subtype.{succ u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (fun (x : CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) => Membership.mem.{u2, u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (SetLike.instMembership.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.instSetLikeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X))) x (U i))) => Subtype.mk.{succ u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (fun (x : CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) => Membership.mem.{u2, u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (SetLike.instMembership.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.instSetLikeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X))) x (iSup.{u2, succ u1} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (ConditionallyCompleteLattice.toSupSet.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toConditionallyCompleteLattice.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))) ι U)) (Subtype.val.{succ u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (fun (x : CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) => Membership.mem.{u2, u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (Set.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X)) (Set.instMembershipSet.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X)) x (SetLike.coe.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.instSetLikeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (U i))) x) (TopologicalSpace.Opens.opensHomHasCoeToFun.proof_1.{u2} X (U i) (iSup.{u2, succ u1} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (ConditionallyCompleteLattice.toSupSet.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toConditionallyCompleteLattice.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))) ι U) (TopologicalSpace.Opens.leSupr.{u2, u1} X ι U i) x)) (Subtype.mk.{succ u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (fun (x : CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) => Membership.mem.{u2, u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (SetLike.instMembership.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.instSetLikeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X))) x (U i)) x m)) (Subtype.mk.{succ u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (fun (x : CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) => Membership.mem.{u2, u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (SetLike.instMembership.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.instSetLikeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X))) x (iSup.{u2, succ u1} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (ConditionallyCompleteLattice.toSupSet.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toConditionallyCompleteLattice.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))) ι U)) x (le_iSup.{succ u1, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) ι (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) U i x m))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.le_supr_apply_mk TopologicalSpace.Opens.leSupr_apply_mkₓ'. -/
 @[simp]
 theorem leSupr_apply_mk {ι : Type _} (U : ι → Opens X) (i : ι) (x) (m) :
-    (leSupr U i) ⟨x, m⟩ = ⟨x, (le_supᵢ U i : _) m⟩ :=
+    (leSupr U i) ⟨x, m⟩ = ⟨x, (le_iSup U i : _) m⟩ :=
   rfl
 #align topological_space.opens.le_supr_apply_mk TopologicalSpace.Opens.leSupr_apply_mk
 
@@ -389,18 +389,18 @@ theorem op_map_comp_obj (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
   rfl
 #align topological_space.opens.op_map_comp_obj TopologicalSpace.Opens.op_map_comp_obj
 
-/- warning: topological_space.opens.map_supr -> TopologicalSpace.Opens.map_supᵢ is a dubious translation:
+/- warning: topological_space.opens.map_supr -> TopologicalSpace.Opens.map_iSup is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u2, u2, u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)))))) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))))) (TopologicalSpace.Opens.map.{u2} X Y f)) (supᵢ.{u2, succ u1} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (ConditionallyCompleteLattice.toSupSet.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteLattice.toConditionallyCompleteLattice.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)))) ι U)) (supᵢ.{u2, succ u1} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (ConditionallyCompleteLattice.toSupSet.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toConditionallyCompleteLattice.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))) ι (Function.comp.{succ u1, succ u2, succ u2} ι (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (Prefunctor.obj.{succ u2, succ u2, u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CategoryTheory.Category.toCategoryStruct.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)))))))) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.CategoryStruct.toQuiver.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Category.toCategoryStruct.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u2, u2, u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)))))) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))))) (TopologicalSpace.Opens.map.{u2} X Y f))) U))
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_supr TopologicalSpace.Opens.map_supᵢₓ'. -/
-theorem map_supᵢ (f : X ⟶ Y) {ι : Type _} (U : ι → Opens Y) :
-    (map f).obj (supᵢ U) = supᵢ ((map f).obj ∘ U) :=
+  forall {X : TopCat.{u2}} {Y : TopCat.{u2}} (f : Quiver.Hom.{succ u2, succ u2} TopCat.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} TopCat.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} TopCat.{u2} instTopCatLargeCategory.{u2})) X Y) {ι : Type.{u1}} (U : ι -> (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y))), Eq.{succ u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (Prefunctor.obj.{succ u2, succ u2, u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CategoryTheory.Category.toCategoryStruct.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)))))))) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.CategoryStruct.toQuiver.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Category.toCategoryStruct.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u2, u2, u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)))))) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))))) (TopologicalSpace.Opens.map.{u2} X Y f)) (iSup.{u2, succ u1} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (ConditionallyCompleteLattice.toSupSet.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteLattice.toConditionallyCompleteLattice.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)))) ι U)) (iSup.{u2, succ u1} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (ConditionallyCompleteLattice.toSupSet.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toConditionallyCompleteLattice.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))) ι (Function.comp.{succ u1, succ u2, succ u2} ι (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (Prefunctor.obj.{succ u2, succ u2, u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CategoryTheory.Category.toCategoryStruct.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)))))))) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.CategoryStruct.toQuiver.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Category.toCategoryStruct.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u2, u2, u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)))))) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))))) (TopologicalSpace.Opens.map.{u2} X Y f))) U))
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_supr TopologicalSpace.Opens.map_iSupₓ'. -/
+theorem map_iSup (f : X ⟶ Y) {ι : Type _} (U : ι → Opens Y) :
+    (map f).obj (iSup U) = iSup ((map f).obj ∘ U) :=
   by
   ext1; rw [supr_def, supr_def, map_obj]
-  dsimp; rw [Set.preimage_unionᵢ]; rfl
-#align topological_space.opens.map_supr TopologicalSpace.Opens.map_supᵢ
+  dsimp; rw [Set.preimage_iUnion]; rfl
+#align topological_space.opens.map_supr TopologicalSpace.Opens.map_iSup
 
 section
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/2f8347015b12b0864dfaf366ec4909eb70c78740

@@ -733,7 +733,7 @@ theorem map_functor_eq {X : TopCat} {U : Opens X} (V : Opens U) :
 lean 3 declaration is
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 but is expected to have type
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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_forget.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (CategoryTheory.Adjunction.counit.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) 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X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) 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(TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) 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(TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_forget.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} 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X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} 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X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} 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X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) 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TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) 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u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} 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TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V)) (fun (_a : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) => Eq.{1} Prop (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) 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TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} 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X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V)) (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} 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u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V))) V (TopologicalSpace.Opens.map_functor_eq.{u1} X U V))) (Eq.refl.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ConcreteCategory.Forget.{u1, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (TopCat.topologicalSpace_forget.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_forget.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V)))))
+  forall {X : TopCat.{u1}} {U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)} (V : TopologicalSpace.Opens.{u1} (Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U)) (instTopologicalSpaceSubtype.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U) (TopCat.topologicalSpace_coe.{u1} X))), Eq.{succ u1} (Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} 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X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) 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(TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} 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instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_forget.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) => Eq.{1} Prop (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) 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(TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V)) (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_forget.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_forget.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_forget.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V)))))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.adjunction_counit_map_functor TopologicalSpace.Opens.adjunction_counit_map_functorₓ'. -/
 @[simp]
 theorem adjunction_counit_map_functor {X : TopCat} {U : Opens X} (V : Opens U) :

mathlib commit https://github.com/leanprover-community/mathlib/commit/738054fa93d43512da144ec45ce799d18fd44248

@@ -71,30 +71,30 @@ We now construct as morphisms various inclusions of open sets.
 -/
 
 
-/- warning: topological_space.opens.inf_le_left -> TopologicalSpace.Opens.infLeLeft is a dubious translation:
+/- warning: topological_space.opens.inf_le_left -> TopologicalSpace.Opens.infLELeft is a dubious translation:
 lean 3 declaration is
   forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (V : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Lattice.toSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))))))) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SemilatticeInf.toHasInf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Lattice.toSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))) U V) U
 but is expected to have type
   forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V) U
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.inf_le_left TopologicalSpace.Opens.infLeLeftₓ'. -/
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.inf_le_left TopologicalSpace.Opens.infLELeftₓ'. -/
 -- This is tedious, but necessary because we decided not to allow Prop as morphisms in a category...
 /-- The inclusion `U ⊓ V ⟶ U` as a morphism in the category of open sets.
 -/
-def infLeLeft (U V : Opens X) : U ⊓ V ⟶ U :=
+def infLELeft (U V : Opens X) : U ⊓ V ⟶ U :=
   inf_le_left.Hom
-#align topological_space.opens.inf_le_left TopologicalSpace.Opens.infLeLeft
+#align topological_space.opens.inf_le_left TopologicalSpace.Opens.infLELeft
 
-/- warning: topological_space.opens.inf_le_right -> TopologicalSpace.Opens.infLeRight is a dubious translation:
+/- warning: topological_space.opens.inf_le_right -> TopologicalSpace.Opens.infLERight is a dubious translation:
 lean 3 declaration is
   forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (V : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Lattice.toSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))))))) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SemilatticeInf.toHasInf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Lattice.toSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))) U V) V
 but is expected to have type
   forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V) V
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.inf_le_right TopologicalSpace.Opens.infLeRightₓ'. -/
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.inf_le_right TopologicalSpace.Opens.infLERightₓ'. -/
 /-- The inclusion `U ⊓ V ⟶ V` as a morphism in the category of open sets.
 -/
-def infLeRight (U V : Opens X) : U ⊓ V ⟶ V :=
+def infLERight (U V : Opens X) : U ⊓ V ⟶ V :=
   inf_le_right.Hom
-#align topological_space.opens.inf_le_right TopologicalSpace.Opens.infLeRight
+#align topological_space.opens.inf_le_right TopologicalSpace.Opens.infLERight
 
 /- warning: topological_space.opens.le_supr -> TopologicalSpace.Opens.leSupr is a dubious translation:
 lean 3 declaration is
@@ -108,17 +108,17 @@ def leSupr {ι : Type _} (U : ι → Opens X) (i : ι) : U i ⟶ supᵢ U :=
   (le_supᵢ U i).Hom
 #align topological_space.opens.le_supr TopologicalSpace.Opens.leSupr
 
-/- warning: topological_space.opens.bot_le -> TopologicalSpace.Opens.botLe is a dubious translation:
+/- warning: topological_space.opens.bot_le -> TopologicalSpace.Opens.botLE is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align topological_space.opens.bot_le TopologicalSpace.Opens.botLeₓ'. -/
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.bot_le TopologicalSpace.Opens.botLEₓ'. -/
 /-- The inclusion `⊥ ⟶ U` as a morphism in the category of open sets.
 -/
-def botLe (U : Opens X) : ⊥ ⟶ U :=
+def botLE (U : Opens X) : ⊥ ⟶ U :=
   bot_le.Hom
-#align topological_space.opens.bot_le TopologicalSpace.Opens.botLe
+#align topological_space.opens.bot_le TopologicalSpace.Opens.botLE
 
 /- warning: topological_space.opens.le_top -> TopologicalSpace.Opens.leTop is a dubious translation:
 lean 3 declaration is
@@ -132,30 +132,30 @@ def leTop (U : Opens X) : U ⟶ ⊤ :=
   le_top.Hom
 #align topological_space.opens.le_top TopologicalSpace.Opens.leTop
 
-/- warning: topological_space.opens.inf_le_left_apply -> TopologicalSpace.Opens.infLeLeft_apply is a dubious translation:
+/- warning: topological_space.opens.inf_le_left_apply -> TopologicalSpace.Opens.infLELeft_apply is a dubious translation:
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 but is expected to have type
-  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (x : Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V))), Eq.{succ u1} (Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U)) ((fun (x : Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V))) => Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U) (Subtype.val.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (Set.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X)) (Set.instMembershipSet.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X)) x (SetLike.coe.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V))) x) (TopologicalSpace.Opens.opensHomHasCoeToFun.proof_1.{u1} X (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V) U (TopologicalSpace.Opens.infLeLeft.{u1} X U V) x)) x) (Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U) (Subtype.val.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V)) x) (inf_le_left.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V (Subtype.val.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V)) x) (Subtype.property.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V)) x)))
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.inf_le_left_apply TopologicalSpace.Opens.infLeLeft_applyₓ'. -/
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (x : Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V))), Eq.{succ u1} (Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U)) ((fun (x : Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.inf_le_left_apply TopologicalSpace.Opens.infLELeft_applyₓ'. -/
 -- We do not mark this as a simp lemma because it breaks open `x`.
 -- Nevertheless, it is useful in `sheaf_of_functions`.
-theorem infLeLeft_apply (U V : Opens X) (x) :
-    (infLeLeft U V) x = ⟨x.1, (@inf_le_left _ _ U V : _ ≤ _) x.2⟩ :=
+theorem infLELeft_apply (U V : Opens X) (x) :
+    (infLELeft U V) x = ⟨x.1, (@inf_le_left _ _ U V : _ ≤ _) x.2⟩ :=
   rfl
-#align topological_space.opens.inf_le_left_apply TopologicalSpace.Opens.infLeLeft_apply
+#align topological_space.opens.inf_le_left_apply TopologicalSpace.Opens.infLELeft_apply
 
-/- warning: topological_space.opens.inf_le_left_apply_mk -> TopologicalSpace.Opens.infLeLeft_apply_mk is a dubious translation:
+/- warning: topological_space.opens.inf_le_left_apply_mk -> TopologicalSpace.Opens.infLELeft_apply_mk is a dubious translation:
 lean 3 declaration is
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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V))) => Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U) (Subtype.val.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (Set.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X)) (Set.instMembershipSet.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X)) x (SetLike.coe.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V))) x) (TopologicalSpace.Opens.opensHomHasCoeToFun.proof_1.{u1} X (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V) U (TopologicalSpace.Opens.infLeLeft.{u1} X U V) x)) (Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V)) x m)) (Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U) x (inf_le_left.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V x m))
-Case conversion may be inaccurate. Consider using '#align topological_space.opens.inf_le_left_apply_mk TopologicalSpace.Opens.infLeLeft_apply_mkₓ'. -/
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (m : Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V)), Eq.{succ u1} (Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U)) ((fun (x : Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V))) => Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U) (Subtype.val.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (Set.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X)) (Set.instMembershipSet.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X)) x (SetLike.coe.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V))) x) (TopologicalSpace.Opens.opensHomHasCoeToFun.proof_1.{u1} X (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V) U (TopologicalSpace.Opens.infLELeft.{u1} X U V) x)) (Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V)) x m)) (Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U) x (inf_le_left.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V x m))
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.inf_le_left_apply_mk TopologicalSpace.Opens.infLELeft_apply_mkₓ'. -/
 @[simp]
-theorem infLeLeft_apply_mk (U V : Opens X) (x) (m) :
-    (infLeLeft U V) ⟨x, m⟩ = ⟨x, (@inf_le_left _ _ U V : _ ≤ _) m⟩ :=
+theorem infLELeft_apply_mk (U V : Opens X) (x) (m) :
+    (infLELeft U V) ⟨x, m⟩ = ⟨x, (@inf_le_left _ _ U V : _ ≤ _) m⟩ :=
   rfl
-#align topological_space.opens.inf_le_left_apply_mk TopologicalSpace.Opens.infLeLeft_apply_mk
+#align topological_space.opens.inf_le_left_apply_mk TopologicalSpace.Opens.infLELeft_apply_mk
 
 /- warning: topological_space.opens.le_supr_apply_mk -> TopologicalSpace.Opens.leSupr_apply_mk is a dubious translation:
 lean 3 declaration is

mathlib commit https://github.com/leanprover-community/mathlib/commit/86d04064ca33ee3d3405fbfc497d494fd2dd4796

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 
 ! This file was ported from Lean 3 source module topology.category.Top.opens
-! leanprover-community/mathlib commit d39590fc8728fbf6743249802486f8c91ffe07bc
+! leanprover-community/mathlib commit f2b757fc5c341d88741b9c4630b1e8ba973c5726
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,6 +16,9 @@ import Mathbin.Topology.Sets.Opens
 /-!
 # The category of open sets in a topological space.
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We define `to_Top : opens X ⥤ Top` and
 `map (f : X ⟶ Y) : opens Y ⥤ opens X`, given by taking preimages of open sets.
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/9b2b58d6b14b895b2f375108e765cb47de71aebd

@@ -57,7 +57,7 @@ the morphisms `U ⟶ V` are not just proofs `U ≤ V`, but rather
 lean 3 declaration is
   forall {X : TopCat.{u1}} {U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)} {V : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)}, CoeFun.{succ u1, succ u1} (Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))))) U V) (fun (f : Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))))) U V) => (coeSort.{succ u1, succ (succ u1)} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) U) -> (coeSort.{succ u1, succ (succ u1)} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) V))
 but is expected to have type
-  forall {X : TopCat.{u1}} {U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)} {V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)}, CoeFun.{succ u1, succ u1} (Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) U V) (fun (f : Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) U V) => (Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) x U)) -> (Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) x V)))
+  forall {X : TopCat.{u1}} {U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)} {V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)}, CoeFun.{succ u1, succ u1} (Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) U V) (fun (f : Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) U V) => (Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U)) -> (Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x V)))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.opens_hom_has_coe_to_fun TopologicalSpace.Opens.opensHomHasCoeToFunₓ'. -/
 instance opensHomHasCoeToFun {U V : Opens X} : CoeFun (U ⟶ V) fun f => U → V :=
   ⟨fun f x => ⟨x, f.le x.2⟩⟩
@@ -72,7 +72,7 @@ We now construct as morphisms various inclusions of open sets.
 lean 3 declaration is
   forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (V : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Lattice.toSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))))))) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SemilatticeInf.toHasInf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Lattice.toSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))) U V) U
 but is expected to have type
-  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) U V) U
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V) U
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.inf_le_left TopologicalSpace.Opens.infLeLeftₓ'. -/
 -- This is tedious, but necessary because we decided not to allow Prop as morphisms in a category...
 /-- The inclusion `U ⊓ V ⟶ U` as a morphism in the category of open sets.
@@ -85,7 +85,7 @@ def infLeLeft (U V : Opens X) : U ⊓ V ⟶ U :=
 lean 3 declaration is
   forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (V : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Lattice.toSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))))))) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SemilatticeInf.toHasInf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Lattice.toSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))) U V) V
 but is expected to have type
-  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) U V) V
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V) V
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.inf_le_right TopologicalSpace.Opens.infLeRightₓ'. -/
 /-- The inclusion `U ⊓ V ⟶ V` as a morphism in the category of open sets.
 -/
@@ -97,7 +97,7 @@ def infLeRight (U V : Opens X) : U ⊓ V ⟶ V :=
 lean 3 declaration is
   forall {X : TopCat.{u1}} {ι : Type.{u2}} (U : ι -> (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) (i : ι), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))))) (U i) (supᵢ.{u1, succ u2} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (ConditionallyCompleteLattice.toHasSup.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))) ι U)
 but is expected to have type
-  forall {X : TopCat.{u1}} {ι : Type.{u2}} (U : ι -> (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) (i : ι), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (U i) (supᵢ.{u1, succ u2} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (ConditionallyCompleteLattice.toSupSet.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))) ι U)
+  forall {X : TopCat.{u1}} {ι : Type.{u2}} (U : ι -> (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (i : ι), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (U i) (supᵢ.{u1, succ u2} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toSupSet.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))) ι U)
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.le_supr TopologicalSpace.Opens.leSuprₓ'. -/
 /-- The inclusion `U i ⟶ supr U` as a morphism in the category of open sets.
 -/
@@ -109,7 +109,7 @@ def leSupr {ι : Type _} (U : ι → Opens X) (i : ι) : U i ⟶ supᵢ U :=
 lean 3 declaration is
   forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))))) (Bot.bot.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (OrderBot.toHasBot.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.toLE.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (BoundedOrder.toOrderBot.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.toLE.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (CompleteLattice.toBoundedOrder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))) U
 but is expected to have type
-  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (Bot.bot.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toBot.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))) U
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (Bot.bot.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toBot.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))) U
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.bot_le TopologicalSpace.Opens.botLeₓ'. -/
 /-- The inclusion `⊥ ⟶ U` as a morphism in the category of open sets.
 -/
@@ -121,7 +121,7 @@ def botLe (U : Opens X) : ⊥ ⟶ U :=
 lean 3 declaration is
   forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))))) U (Top.top.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CompleteLattice.toHasTop.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))
 but is expected to have type
-  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) U (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) U (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.le_top TopologicalSpace.Opens.leTopₓ'. -/
 /-- The inclusion `U ⟶ ⊤` as a morphism in the category of open sets.
 -/
@@ -133,7 +133,7 @@ def leTop (U : Opens X) : U ⟶ ⊤ :=
 lean 3 declaration is
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(coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))) U V)), Eq.{succ u1} (coeSort.{succ u1, succ (succ u1)} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) U) (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} 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 but is expected to have type
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(ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) U V))) x) (TopologicalSpace.Opens.opensHomHasCoeToFun.proof_1.{u1} X (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) U V) U (TopologicalSpace.Opens.infLeLeft.{u1} X U V) x)) x) (Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) x U) (Subtype.val.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) U V)) x) (inf_le_left.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Lattice.toSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) U V (Subtype.val.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) U V)) x) (Subtype.property.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) U V)) x)))
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (x : Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V))), Eq.{succ u1} (Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U)) ((fun (x : Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V))) => Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U) (Subtype.val.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (Set.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X)) (Set.instMembershipSet.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X)) x (SetLike.coe.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V))) x) (TopologicalSpace.Opens.opensHomHasCoeToFun.proof_1.{u1} X (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V) U (TopologicalSpace.Opens.infLeLeft.{u1} X U V) x)) x) (Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U) (Subtype.val.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V)) x) (inf_le_left.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V (Subtype.val.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V)) x) (Subtype.property.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V)) x)))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.inf_le_left_apply TopologicalSpace.Opens.infLeLeft_applyₓ'. -/
 -- We do not mark this as a simp lemma because it breaks open `x`.
 -- Nevertheless, it is useful in `sheaf_of_functions`.
@@ -146,7 +146,7 @@ theorem infLeLeft_apply (U V : Opens X) (x) :
 lean 3 declaration is
   forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (V : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (x : coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (m : Membership.Mem.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.hasMem.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) 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 but is expected to have type
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u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) U V))) => Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) x U) (Subtype.val.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} 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(TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) U V))) x) (TopologicalSpace.Opens.opensHomHasCoeToFun.proof_1.{u1} X (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) U V) U (TopologicalSpace.Opens.infLeLeft.{u1} X U V) x)) (Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) U V)) x m)) (Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) x U) x (inf_le_left.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Lattice.toSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) U V x m))
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (m : Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V)), Eq.{succ u1} (Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U)) ((fun (x : Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V))) => Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U) (Subtype.val.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (Set.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X)) (Set.instMembershipSet.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X)) x (SetLike.coe.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V))) x) (TopologicalSpace.Opens.opensHomHasCoeToFun.proof_1.{u1} X (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V) U (TopologicalSpace.Opens.infLeLeft.{u1} X U V) x)) (Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V)) x m)) (Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U) x (inf_le_left.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V x m))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.inf_le_left_apply_mk TopologicalSpace.Opens.infLeLeft_apply_mkₓ'. -/
 @[simp]
 theorem infLeLeft_apply_mk (U V : Opens X) (x) (m) :
@@ -158,7 +158,7 @@ theorem infLeLeft_apply_mk (U V : Opens X) (x) (m) :
 lean 3 declaration is
   forall {X : TopCat.{u1}} {ι : Type.{u2}} (U : ι -> (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) (i : ι) (x : coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (m : Membership.Mem.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.hasMem.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) x (U i)), Eq.{succ u1} (coeSort.{succ u1, succ (succ u1)} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) (supᵢ.{u1, succ u2} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (ConditionallyCompleteLattice.toHasSup.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} 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 but is expected to have type
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TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)))) ι U)) x (le_supᵢ.{succ u1, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)) ι (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)) U i x m))
+  forall {X : TopCat.{u2}} {ι : Type.{u1}} (U : ι -> (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X))) (i : ι) (x : CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (m : Membership.mem.{u2, u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (SetLike.instMembership.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.instSetLikeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X))) x (U i)), Eq.{succ u2} (Subtype.{succ u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (fun (x : CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) => Membership.mem.{u2, u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (SetLike.instMembership.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.instSetLikeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X))) x (supᵢ.{u2, succ u1} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (ConditionallyCompleteLattice.toSupSet.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toConditionallyCompleteLattice.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))) ι U))) ((fun (x : Subtype.{succ u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (fun (x : CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) => Membership.mem.{u2, u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (SetLike.instMembership.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.instSetLikeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X))) x (U i))) => Subtype.mk.{succ u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (fun (x : CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) => Membership.mem.{u2, u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (SetLike.instMembership.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.instSetLikeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X))) x (supᵢ.{u2, succ u1} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (ConditionallyCompleteLattice.toSupSet.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toConditionallyCompleteLattice.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))) ι U)) (Subtype.val.{succ u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (fun (x : CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) => Membership.mem.{u2, u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (Set.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X)) (Set.instMembershipSet.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X)) x (SetLike.coe.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.instSetLikeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (U i))) x) (TopologicalSpace.Opens.opensHomHasCoeToFun.proof_1.{u2} X (U i) (supᵢ.{u2, succ u1} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (ConditionallyCompleteLattice.toSupSet.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toConditionallyCompleteLattice.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))) ι U) (TopologicalSpace.Opens.leSupr.{u2, u1} X ι U i) x)) (Subtype.mk.{succ u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (fun (x : CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) => Membership.mem.{u2, u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (SetLike.instMembership.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.instSetLikeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X))) x (U i)) x m)) (Subtype.mk.{succ u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (fun (x : CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) => Membership.mem.{u2, u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (SetLike.instMembership.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.instSetLikeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X))) x (supᵢ.{u2, succ u1} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (ConditionallyCompleteLattice.toSupSet.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toConditionallyCompleteLattice.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))) ι U)) x (le_supᵢ.{succ u1, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) ι (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) U i x m))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.le_supr_apply_mk TopologicalSpace.Opens.leSupr_apply_mkₓ'. -/
 @[simp]
 theorem leSupr_apply_mk {ι : Type _} (U : ι → Opens X) (i : ι) (x) (m) :
@@ -170,7 +170,7 @@ theorem leSupr_apply_mk {ι : Type _} (U : ι → Opens X) (i : ι) (x) (m) :
 lean 3 declaration is
   forall (X : TopCat.{u1}), CategoryTheory.Functor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) TopCat.{u1} TopCat.largeCategory.{u1}
 but is expected to have type
-  forall (X : TopCat.{u1}), CategoryTheory.Functor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1}
+  forall (X : TopCat.{u1}), CategoryTheory.Functor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1}
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.to_Top TopologicalSpace.Opens.toTopCatₓ'. -/
 /-- The functor from open sets in `X` to `Top`,
 realising each open set as a topological space itself.
@@ -187,7 +187,7 @@ def toTopCat (X : TopCat.{u}) : Opens X ⥤ TopCat
 lean 3 declaration is
   forall (X : TopCat.{u1}) {U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)} {V : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)} {f : Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))))) U V} {x : coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X} {h : Membership.Mem.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.hasMem.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) x U}, Eq.{succ u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) 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 but is expected to have type
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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) V) (Prefunctor.map.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} 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(CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U V f) (Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) x U) x h)) (Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) x V) x (Quiver.Hom.le.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) U V f x h))
+  forall (X : TopCat.{u1}) {U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)} {V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)} {f : Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) U V} {x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X} {h : Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U}, Eq.{succ u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) V)) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) V) (Prefunctor.map.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U V f) (Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U) x h)) (Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x V) x (Quiver.Hom.le.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U V f x h))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.to_Top_map TopologicalSpace.Opens.toTopCat_mapₓ'. -/
 @[simp]
 theorem toTopCat_map (X : TopCat.{u}) {U V : Opens X} {f : U ⟶ V} {x} {h} :
@@ -199,7 +199,7 @@ theorem toTopCat_map (X : TopCat.{u}) {U V : Opens X} {f : U ⟶ V} {x} {h} :
 lean 3 declaration is
   forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)), Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) TopCat.{u1} TopCat.largeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X) U) X
 but is expected to have type
-  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)), Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)), Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.inclusion TopologicalSpace.Opens.inclusionₓ'. -/
 /-- The inclusion map from an open subset to the whole space, as a morphism in `Top`.
 -/
@@ -214,7 +214,7 @@ def inclusion {X : TopCat.{u}} (U : Opens X) : (toTopCat X).obj U ⟶ X
 lean 3 declaration is
   forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)), OpenEmbedding.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) TopCat.{u1} TopCat.largeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X) U)) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (TopCat.topologicalSpace.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) TopCat.{u1} TopCat.largeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X) U)) (TopCat.topologicalSpace.{u1} X) (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} 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(succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) TopCat.{u1} TopCat.largeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X) U) X) (fun (_x : ContinuousMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) 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(CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) TopCat.{u1} TopCat.largeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X) U)) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X)) (TopologicalSpace.Opens.inclusion.{u1} X U))
 but is expected to have type
-  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)), OpenEmbedding.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)), OpenEmbedding.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (TopCat.topologicalSpace_forget.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_forget.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.open_embedding TopologicalSpace.Opens.openEmbeddingₓ'. -/
 theorem openEmbedding {X : TopCat.{u}} (U : Opens X) : OpenEmbedding (inclusion U) :=
   IsOpen.openEmbedding_subtype_val U.2
@@ -224,7 +224,7 @@ theorem openEmbedding {X : TopCat.{u}} (U : Opens X) : OpenEmbedding (inclusion
 lean 3 declaration is
   forall (X : TopCat.{u1}), CategoryTheory.Iso.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) TopCat.{u1} TopCat.largeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CompleteLattice.toHasTop.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) X
 but is expected to have type
-  forall (X : TopCat.{u1}), CategoryTheory.Iso.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) X
+  forall (X : TopCat.{u1}), CategoryTheory.Iso.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) X
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.inclusion_top_iso TopologicalSpace.Opens.inclusionTopIsoₓ'. -/
 /-- The inclusion of the top open subset (i.e. the whole space) is an isomorphism.
 -/
@@ -238,7 +238,7 @@ def inclusionTopIso (X : TopCat.{u}) : (toTopCat X).obj ⊤ ≅ X
 lean 3 declaration is
   forall {X : TopCat.{u1}} {Y : TopCat.{u1}}, (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) -> (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))))
 but is expected to have type
-  forall {X : TopCat.{u1}} {Y : TopCat.{u1}}, (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) -> (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}}, (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) -> (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map TopologicalSpace.Opens.mapₓ'. -/
 /-- `opens.map f` gives the functor from open sets in Y to open set in X,
     given by taking preimages under f. -/
@@ -252,7 +252,7 @@ def map (f : X ⟶ Y) : Opens Y ⥤ Opens X
 lean 3 declaration is
   forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)), Eq.{succ u1} (Set.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X)) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Set.{u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} 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u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (fun (_x : ContinuousMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) => (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y)) (ContinuousMap.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), 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 but is expected to have type
-  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)), Eq.{succ u1} (Set.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X)) (SetLike.coe.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) U)) (Set.preimage.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Y f) (SetLike.coe.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) U))
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)), Eq.{succ u1} (Set.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X)) (SetLike.coe.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) U)) (Set.preimage.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Y f) (SetLike.coe.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) U))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_coe TopologicalSpace.Opens.map_coeₓ'. -/
 theorem map_coe (f : X ⟶ Y) (U : Opens Y) : ↑((map f).obj U) = f ⁻¹' U :=
   rfl
@@ -262,7 +262,7 @@ theorem map_coe (f : X ⟶ Y) (U : Opens Y) : ↑((map f).obj U) = f ⁻¹' U :=
 lean 3 declaration is
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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) (TopologicalSpace.Opens.mk.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y) U p)) (TopologicalSpace.Opens.mk.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X) (Set.preimage.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Y f) U) (IsOpen.preimage.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y) (FunLike.coe.{succ u1, succ u1, succ u1} (ContinuousMap.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (_x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) _x) (ContinuousMapClass.toFunLike.{u1, u1, u1} (ContinuousMap.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y) (ContinuousMap.instContinuousMapClassContinuousMap.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y))) f) (ContinuousMap.continuous.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y) f) U p))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_obj TopologicalSpace.Opens.map_objₓ'. -/
 @[simp]
 theorem map_obj (f : X ⟶ Y) (U) (p) : (map f).obj ⟨U, p⟩ = ⟨f ⁻¹' U, p.preimage f.Continuous⟩ :=
@@ -273,7 +273,7 @@ theorem map_obj (f : X ⟶ Y) (U) (p) : (map f).obj ⟨U, p⟩ = ⟨f ⁻¹' U,
 lean 3 declaration is
   forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1}) X)) U) U
 but is expected to have type
-  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X))) U) U
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X))) U) U
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_id_obj TopologicalSpace.Opens.map_id_objₓ'. -/
 @[simp]
 theorem map_id_obj (U : Opens X) : (map (𝟙 X)).obj U = U :=
@@ -285,7 +285,7 @@ theorem map_id_obj (U : Opens X) : (map (𝟙 X)).obj U = U :=
 lean 3 declaration is
   forall {X : TopCat.{u1}} (U : Set.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X)) (p : IsOpen.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X) U), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1}) X)) (TopologicalSpace.Opens.mk.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X) U p)) (TopologicalSpace.Opens.mk.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X) U p)
 but is expected to have type
-  forall {X : TopCat.{u1}} (U : Set.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X)) (p : IsOpen.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X) U), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X))) (TopologicalSpace.Opens.mk.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X) U p)) (TopologicalSpace.Opens.mk.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X) U p)
+  forall {X : TopCat.{u1}} (U : Set.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X)) (p : IsOpen.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X) U), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X))) (TopologicalSpace.Opens.mk.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X) U p)) (TopologicalSpace.Opens.mk.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X) U p)
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_id_obj' TopologicalSpace.Opens.map_id_obj'ₓ'. -/
 @[simp]
 theorem map_id_obj' (U) (p) : (map (𝟙 X)).obj ⟨U, p⟩ = ⟨U, p⟩ :=
@@ -296,7 +296,7 @@ theorem map_id_obj' (U) (p) : (map (𝟙 X)).obj ⟨U, p⟩ = ⟨U, p⟩ :=
 lean 3 declaration is
   forall {X : TopCat.{u1}} (U : Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1}) X)) (Opposite.unop.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) U)) (Opposite.unop.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) U)
 but is expected to have type
-  forall {X : TopCat.{u1}} (U : Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X))) (Opposite.unop.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) U)) (Opposite.unop.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) U)
+  forall {X : TopCat.{u1}} (U : Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X))) (Opposite.unop.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) U)) (Opposite.unop.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) U)
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_id_obj_unop TopologicalSpace.Opens.map_id_obj_unopₓ'. -/
 @[simp]
 theorem map_id_obj_unop (U : (Opens X)ᵒᵖ) : (map (𝟙 X)).obj (unop U) = unop U :=
@@ -308,7 +308,7 @@ theorem map_id_obj_unop (U : (Opens X)ᵒᵖ) : (map (𝟙 X)).obj (unop U) = un
 lean 3 declaration is
   forall {X : TopCat.{u1}} (U : Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))), Eq.{succ u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))) (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))) (CategoryTheory.Functor.op.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1}) X))) U) U
 but is expected to have type
-  forall {X : TopCat.{u1}} (U : Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))), Eq.{succ u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))))) (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (CategoryTheory.Functor.op.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X)))) U) U
+  forall {X : TopCat.{u1}} (U : Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))), Eq.{succ u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))))) (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (CategoryTheory.Functor.op.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X)))) U) U
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.op_map_id_obj TopologicalSpace.Opens.op_map_id_objₓ'. -/
 @[simp]
 theorem op_map_id_obj (U : (Opens X)ᵒᵖ) : (map (𝟙 X)).op.obj U = U := by simp
@@ -318,7 +318,7 @@ theorem op_map_id_obj (U : (Opens X)ᵒᵖ) : (map (𝟙 X)).op.obj U = U := by
 lean 3 declaration is
   forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))))) U (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.map.{u1} X Y f) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (CompleteLattice.toHasTop.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)))))
 but is expected to have type
-  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) U (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) U (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.le_map_top TopologicalSpace.Opens.leMapTopₓ'. -/
 /-- The inclusion `U ⟶ (map f).obj ⊤` as a morphism in the category of open sets.
 -/
@@ -330,7 +330,7 @@ def leMapTop (f : X ⟶ Y) (U : Opens X) : U ⟶ (map f).obj ⊤ :=
 lean 3 declaration is
   forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {Z : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) Y Z) (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} 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TopCat.largeCategory.{u1}) X Y Z f g)) U) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} 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(TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.map.{u1} X Y f) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (TopologicalSpace.Opens.map.{u1} Y Z g) U))
 but is expected to have type
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Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.map.{u1} Y Z g)) U))
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {Z : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Y Z) (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Z (CategoryTheory.CategoryStruct.comp.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X Y Z f g))) U) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.map.{u1} Y Z g)) U))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp_obj TopologicalSpace.Opens.map_comp_objₓ'. -/
 @[simp]
 theorem map_comp_obj (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
@@ -342,7 +342,7 @@ theorem map_comp_obj (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
 lean 3 declaration is
   forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {Z : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) Y Z) (U : Set.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z)) (p : IsOpen.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z) U), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.map.{u1} X Z (CategoryTheory.CategoryStruct.comp.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1}) X Y Z f g)) (TopologicalSpace.Opens.mk.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z) U p)) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.map.{u1} X Y f) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (TopologicalSpace.Opens.map.{u1} Y Z g) (TopologicalSpace.Opens.mk.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z) U p)))
 but is expected to have type
-  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {Z : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Y Z) (U : Set.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z)) (p : IsOpen.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z) U), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Z (CategoryTheory.CategoryStruct.comp.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X Y Z f g))) (TopologicalSpace.Opens.mk.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z) U p)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.map.{u1} Y Z g)) (TopologicalSpace.Opens.mk.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z) U p)))
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {Z : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Y Z) (U : Set.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z)) (p : IsOpen.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z) U), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Z (CategoryTheory.CategoryStruct.comp.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X Y Z f g))) (TopologicalSpace.Opens.mk.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z) U p)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.map.{u1} Y Z g)) (TopologicalSpace.Opens.mk.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z) U p)))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp_obj' TopologicalSpace.Opens.map_comp_obj'ₓ'. -/
 @[simp]
 theorem map_comp_obj' (f : X ⟶ Y) (g : Y ⟶ Z) (U) (p) :
@@ -354,7 +354,7 @@ theorem map_comp_obj' (f : X ⟶ Y) (g : Y ⟶ Z) (U) (p) :
 lean 3 declaration is
   forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {Z : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) Y Z) {U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)} {V : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)} (i : Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)) 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 but is expected to have type
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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.map.{u1} Y Z g)) U) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.map.{u1} Y Z g)) V) (Prefunctor.map.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.map.{u1} Y Z g)) U V i))
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {Z : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Y Z) {U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)} {V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)} (i : Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))))) U V), Eq.{succ u1} (Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} 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(PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.map.{u1} Y Z g)) U) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.map.{u1} Y Z g)) V) (Prefunctor.map.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.map.{u1} Y Z g)) U V i))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp_map TopologicalSpace.Opens.map_comp_mapₓ'. -/
 @[simp]
 theorem map_comp_map (f : X ⟶ Y) (g : Y ⟶ Z) {U V} (i : U ⟶ V) :
@@ -366,7 +366,7 @@ theorem map_comp_map (f : X ⟶ Y) (g : Y ⟶ Z) {U V} (i : U ⟶ V) :
 lean 3 declaration is
   forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {Z : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) Y Z) (U : Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z))), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} 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 but is expected to have type
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Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.map.{u1} Y Z g)) (Opposite.unop.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) U)))
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {Z : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Y Z) (U : Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z))), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Z (CategoryTheory.CategoryStruct.comp.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X Y Z f g))) (Opposite.unop.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) U)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.map.{u1} Y Z g)) (Opposite.unop.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) U)))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp_obj_unop TopologicalSpace.Opens.map_comp_obj_unopₓ'. -/
 @[simp]
 theorem map_comp_obj_unop (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
@@ -378,7 +378,7 @@ theorem map_comp_obj_unop (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
 lean 3 declaration is
   forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {Z : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) Y Z) (U : Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z))), Eq.{succ u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} 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(coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (TopologicalSpace.Opens.map.{u1} Y Z g)) U))
 but is expected to have type
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(TopCat.instTopologicalSpaceα.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (CategoryTheory.Functor.op.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z))))))))) (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z))))))) (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y))))))) (CategoryTheory.Functor.op.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.map.{u1} Y Z g))) U))
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {Z : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Y Z) (U : Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z))), Eq.{succ u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z))))))))) (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z))))))) (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (CategoryTheory.Functor.op.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Z (CategoryTheory.CategoryStruct.comp.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X Y Z f g)))) U) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y))))))))) (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y))))))) (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (CategoryTheory.Functor.op.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z))))))))) (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z))))))) (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y))))))) (CategoryTheory.Functor.op.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.map.{u1} Y Z g))) U))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.op_map_comp_obj TopologicalSpace.Opens.op_map_comp_objₓ'. -/
 @[simp]
 theorem op_map_comp_obj (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
@@ -390,7 +390,7 @@ theorem op_map_comp_obj (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
 lean 3 declaration is
   forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) {ι : Type.{u2}} (U : ι -> (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} 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u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} 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 but is expected to have type
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Y)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.instTopologicalSpaceα.{u2} Y)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.instTopologicalSpaceα.{u2} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.instTopologicalSpaceα.{u2} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.instTopologicalSpaceα.{u2} Y)))))) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)))))) (TopologicalSpace.Opens.map.{u2} X Y f))) U))
+  forall {X : TopCat.{u2}} {Y : TopCat.{u2}} (f : Quiver.Hom.{succ u2, succ u2} TopCat.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} TopCat.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} TopCat.{u2} instTopCatLargeCategory.{u2})) X Y) {ι : Type.{u1}} (U : ι -> (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y))), Eq.{succ u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (Prefunctor.obj.{succ u2, succ u2, u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CategoryTheory.Category.toCategoryStruct.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)))))))) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.CategoryStruct.toQuiver.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Category.toCategoryStruct.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u2, u2, u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)))))) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))))) (TopologicalSpace.Opens.map.{u2} X Y f)) (supᵢ.{u2, succ u1} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (ConditionallyCompleteLattice.toSupSet.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteLattice.toConditionallyCompleteLattice.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)))) ι U)) (supᵢ.{u2, succ u1} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (ConditionallyCompleteLattice.toSupSet.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toConditionallyCompleteLattice.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))) ι (Function.comp.{succ u1, succ u2, succ u2} ι (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (Prefunctor.obj.{succ u2, succ u2, u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CategoryTheory.Category.toCategoryStruct.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)))))))) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.CategoryStruct.toQuiver.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CategoryTheory.Category.toCategoryStruct.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u2, u2, u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.topologicalSpace_coe.{u2} Y)))))) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (Preorder.smallCategory.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (PartialOrder.toPreorder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteSemilatticeInf.toPartialOrder.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (CompleteLattice.toCompleteSemilatticeInf.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.topologicalSpace_coe.{u2} X)))))) (TopologicalSpace.Opens.map.{u2} X Y f))) U))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_supr TopologicalSpace.Opens.map_supᵢₓ'. -/
 theorem map_supᵢ (f : X ⟶ Y) {ι : Type _} (U : ι → Opens Y) :
     (map f).obj (supᵢ U) = supᵢ ((map f).obj ∘ U) :=
@@ -407,7 +407,7 @@ variable (X)
 lean 3 declaration is
   forall (X : TopCat.{u1}), CategoryTheory.Iso.{u1, u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} 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u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))))
 but is expected to have type
-  forall (X : TopCat.{u1}), CategoryTheory.Iso.{u1, u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (CategoryTheory.Functor.category.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X)) (CategoryTheory.Functor.id.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))
+  forall (X : TopCat.{u1}), CategoryTheory.Iso.{u1, u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (CategoryTheory.Functor.category.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X)) (CategoryTheory.Functor.id.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_id TopologicalSpace.Opens.mapIdₓ'. -/
 /-- The functor `opens X ⥤ opens X` given by taking preimages under the identity function
 is naturally isomorphic to the identity functor.
@@ -423,7 +423,7 @@ def mapId : map (𝟙 X) ≅ 𝟭 (Opens X)
 lean 3 declaration is
   forall (X : TopCat.{u1}), Eq.{succ u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1}) X)) (CategoryTheory.Functor.id.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))))
 but is expected to have type
-  forall (X : TopCat.{u1}), Eq.{succ u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X)) (CategoryTheory.Functor.id.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))
+  forall (X : TopCat.{u1}), Eq.{succ u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X)) (CategoryTheory.Functor.id.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_id_eq TopologicalSpace.Opens.map_id_eqₓ'. -/
 theorem map_id_eq : map (𝟙 X) = 𝟭 (Opens X) :=
   by
@@ -440,7 +440,7 @@ end
 lean 3 declaration is
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 but is expected to have type
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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (CategoryTheory.Functor.category.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (TopologicalSpace.Opens.map.{u1} X Z (CategoryTheory.CategoryStruct.comp.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X Y Z f g)) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} Y Z g) (TopologicalSpace.Opens.map.{u1} X Y f))
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {Z : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Y Z), CategoryTheory.Iso.{u1, u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (CategoryTheory.Functor.category.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (TopologicalSpace.Opens.map.{u1} X Z (CategoryTheory.CategoryStruct.comp.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X Y Z f g)) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} Y Z g) (TopologicalSpace.Opens.map.{u1} X Y f))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp TopologicalSpace.Opens.mapCompₓ'. -/
 /-- The natural isomorphism between taking preimages under `f ≫ g`, and the composite
 of taking preimages under `g`, then preimages under `f`.
@@ -456,7 +456,7 @@ def mapComp (f : X ⟶ Y) (g : Y ⟶ Z) : map (f ≫ g) ≅ map g ⋙ map f
 lean 3 declaration is
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u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} 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TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.map.{u1} Y Z g) (TopologicalSpace.Opens.map.{u1} X Y f))
 but is expected to have type
-  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {Z : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Y Z), Eq.{succ u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (TopologicalSpace.Opens.map.{u1} X Z (CategoryTheory.CategoryStruct.comp.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X Y Z f g)) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} Y Z g) (TopologicalSpace.Opens.map.{u1} X Y f))
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {Z : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Y Z), Eq.{succ u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (TopologicalSpace.Opens.map.{u1} X Z (CategoryTheory.CategoryStruct.comp.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X Y Z f g)) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.topologicalSpace_coe.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} Y Z g) (TopologicalSpace.Opens.map.{u1} X Y f))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp_eq TopologicalSpace.Opens.map_comp_eqₓ'. -/
 theorem map_comp_eq (f : X ⟶ Y) (g : Y ⟶ Z) : map (f ≫ g) = map g ⋙ map f :=
   rfl
@@ -466,7 +466,7 @@ theorem map_comp_eq (f : X ⟶ Y) (g : Y ⟶ Z) : map (f ≫ g) = map g ⋙ map
 lean 3 declaration is
   forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y), (Eq.{succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) f g) -> (CategoryTheory.Iso.{u1, u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))) (CategoryTheory.Functor.category.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f) (TopologicalSpace.Opens.map.{u1} X Y g))
 but is expected to have type
-  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y), (Eq.{succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) f g) -> (CategoryTheory.Iso.{u1, u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (CategoryTheory.Functor.category.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (TopologicalSpace.Opens.map.{u1} X Y f) (TopologicalSpace.Opens.map.{u1} X Y g))
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y), (Eq.{succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) f g) -> (CategoryTheory.Iso.{u1, u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (CategoryTheory.Functor.category.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (TopologicalSpace.Opens.map.{u1} X Y f) (TopologicalSpace.Opens.map.{u1} X Y g))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_iso TopologicalSpace.Opens.mapIsoₓ'. -/
 -- We could make `f g` implicit here, but it's nice to be able to see when
 -- they are the identity (often!)
@@ -482,7 +482,7 @@ def mapIso (f g : X ⟶ Y) (h : f = g) : map f ≅ map g :=
 lean 3 declaration is
   forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y), (Eq.{succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) f g) -> (Eq.{succ u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f) (TopologicalSpace.Opens.map.{u1} X Y g))
 but is expected to have type
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+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y), (Eq.{succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) f g) -> (Eq.{succ u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (TopologicalSpace.Opens.map.{u1} X Y f) (TopologicalSpace.Opens.map.{u1} X Y g))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_eq TopologicalSpace.Opens.map_eqₓ'. -/
 theorem map_eq (f g : X ⟶ Y) (h : f = g) : map f = map g :=
   by
@@ -498,7 +498,7 @@ theorem map_eq (f g : X ⟶ Y) (h : f = g) : map f = map g :=
 lean 3 declaration is
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 but is expected to have type
-  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (h : Eq.{succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) f f), Eq.{succ u1} (CategoryTheory.Iso.{u1, u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (CategoryTheory.Functor.category.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (TopologicalSpace.Opens.map.{u1} X Y f) (TopologicalSpace.Opens.map.{u1} X Y f)) (TopologicalSpace.Opens.mapIso.{u1} X Y f f h) (CategoryTheory.Iso.refl.{u1, u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (CategoryTheory.Functor.category.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (TopologicalSpace.Opens.map.{u1} X Y f))
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (h : Eq.{succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) f f), Eq.{succ u1} (CategoryTheory.Iso.{u1, u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (CategoryTheory.Functor.category.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (TopologicalSpace.Opens.map.{u1} X Y f) (TopologicalSpace.Opens.map.{u1} X Y f)) (TopologicalSpace.Opens.mapIso.{u1} X Y f f h) (CategoryTheory.Iso.refl.{u1, u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (CategoryTheory.Functor.category.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (TopologicalSpace.Opens.map.{u1} X Y f))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_iso_refl TopologicalSpace.Opens.mapIso_reflₓ'. -/
 @[simp]
 theorem mapIso_refl (f : X ⟶ Y) (h) : mapIso f f h = Iso.refl (map _) :=
@@ -509,7 +509,7 @@ theorem mapIso_refl (f : X ⟶ Y) (h) : mapIso f f h = Iso.refl (map _) :=
 lean 3 declaration is
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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) U) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y g)) U))) g h)) (Eq.refl.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y g)) U))))
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (h : Eq.{succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) f g) (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)), Eq.{succ u1} (Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) U) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y g)) U))) g h)) (Eq.refl.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y g)) U))))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_iso_hom_app TopologicalSpace.Opens.mapIso_hom_appₓ'. -/
 @[simp]
 theorem mapIso_hom_app (f g : X ⟶ Y) (h : f = g) (U : Opens Y) :
@@ -521,7 +521,7 @@ theorem mapIso_hom_app (f g : X ⟶ Y) (h : f = g) (U : Opens Y) :
 lean 3 declaration is
   forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (h : Eq.{succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) f g) (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)), Eq.{succ u1} (Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) U))) g h)) (Eq.refl.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y g)) U))))
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (h : Eq.{succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) f g) (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)), Eq.{succ u1} (Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y g)) U) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) U)) (CategoryTheory.NatTrans.app.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) 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TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y g)) U))))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_iso_inv_app TopologicalSpace.Opens.mapIso_inv_appₓ'. -/
 @[simp]
 theorem mapIso_inv_app (f g : X ⟶ Y) (h : f = g) (U : Opens Y) :
@@ -534,7 +534,7 @@ theorem mapIso_inv_app (f g : X ⟶ Y) (h : f = g) (U : Opens Y) :
 lean 3 declaration is
   forall {X : TopCat.{u1}} {Y : TopCat.{u1}}, (CategoryTheory.Iso.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1} X Y) -> (CategoryTheory.Equivalence.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))))
 but is expected to have type
-  forall {X : TopCat.{u1}} {Y : TopCat.{u1}}, (CategoryTheory.Iso.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} X Y) -> (CategoryTheory.Equivalence.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}}, (CategoryTheory.Iso.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} X Y) -> (CategoryTheory.Equivalence.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_map_iso TopologicalSpace.Opens.mapMapIsoₓ'. -/
 /-- A homeomorphism of spaces gives an equivalence of categories of open sets.
 
@@ -563,7 +563,7 @@ end TopologicalSpace.Opens
 lean 3 declaration is
   forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y}, (IsOpenMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (TopCat.topologicalSpace.{u1} X) (TopCat.topologicalSpace.{u1} Y) (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (fun (_x : ContinuousMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) => (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y)) (ContinuousMap.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) f)) -> (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))))
 but is expected to have type
-  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y}, (IsOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} Y) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Y f)) -> (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y}, (IsOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y) (TopCat.topologicalSpace_forget.{u1} X) (TopCat.topologicalSpace_forget.{u1} Y) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Y f)) -> (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))))
 Case conversion may be inaccurate. Consider using '#align is_open_map.functor IsOpenMap.functorₓ'. -/
 /-- An open map `f : X ⟶ Y` induces a functor `opens X ⥤ opens Y`.
 -/
@@ -578,7 +578,7 @@ def IsOpenMap.functor {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) : Opens X
 lean 3 declaration is
   forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y} (hf : IsOpenMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (TopCat.topologicalSpace.{u1} X) (TopCat.topologicalSpace.{u1} Y) (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (fun (_x : ContinuousMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) => (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y)) (ContinuousMap.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) f)), CategoryTheory.Adjunction.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (IsOpenMap.functor.{u1} X Y f hf) (TopologicalSpace.Opens.map.{u1} X Y f)
 but is expected to have type
-  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y} (hf : IsOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} Y) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Y f)), CategoryTheory.Adjunction.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (IsOpenMap.functor.{u1} X Y f hf) (TopologicalSpace.Opens.map.{u1} X Y f)
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y} (hf : IsOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y) (TopCat.topologicalSpace_forget.{u1} X) (TopCat.topologicalSpace_forget.{u1} Y) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Y f)), CategoryTheory.Adjunction.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (IsOpenMap.functor.{u1} X Y f hf) (TopologicalSpace.Opens.map.{u1} X Y f)
 Case conversion may be inaccurate. Consider using '#align is_open_map.adjunction IsOpenMap.adjunctionₓ'. -/
 /-- An open map `f : X ⟶ Y` induces an adjunction between `opens X` and `opens Y`.
 -/
@@ -593,7 +593,7 @@ def IsOpenMap.adjunction {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) :
 lean 3 declaration is
   forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y} (hf : IsOpenMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (TopCat.topologicalSpace.{u1} X) (TopCat.topologicalSpace.{u1} Y) (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (fun (_x : ContinuousMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) => (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y)) (ContinuousMap.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) f)) [H : CategoryTheory.Mono.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1} X Y f], CategoryTheory.Full.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (IsOpenMap.functor.{u1} X Y f hf)
 but is expected to have type
-  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y} (hf : IsOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} Y) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Y f)) [H : CategoryTheory.Mono.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} X Y f], CategoryTheory.Full.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (IsOpenMap.functor.{u1} X Y f hf)
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y} (hf : IsOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y) (TopCat.topologicalSpace_forget.{u1} X) (TopCat.topologicalSpace_forget.{u1} Y) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Y f)) [H : CategoryTheory.Mono.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} X Y f], CategoryTheory.Full.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (IsOpenMap.functor.{u1} X Y f hf)
 Case conversion may be inaccurate. Consider using '#align is_open_map.functor_full_of_mono IsOpenMap.functorFullOfMonoₓ'. -/
 instance IsOpenMap.functorFullOfMono {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) [H : Mono f] :
     Full hf.Functor
@@ -607,7 +607,7 @@ instance IsOpenMap.functorFullOfMono {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMa
 lean 3 declaration is
   forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y} (hf : IsOpenMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (TopCat.topologicalSpace.{u1} X) (TopCat.topologicalSpace.{u1} Y) (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (fun (_x : ContinuousMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) => (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y)) (ContinuousMap.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) f)), CategoryTheory.Faithful.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (IsOpenMap.functor.{u1} X Y f hf)
 but is expected to have type
-  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y} (hf : IsOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} Y) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Y f)), CategoryTheory.Faithful.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (IsOpenMap.functor.{u1} X Y f hf)
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y} (hf : IsOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y) (TopCat.topologicalSpace_forget.{u1} X) (TopCat.topologicalSpace_forget.{u1} Y) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Y f)), CategoryTheory.Faithful.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (IsOpenMap.functor.{u1} X Y f hf)
 Case conversion may be inaccurate. Consider using '#align is_open_map.functor_faithful IsOpenMap.functor_faithfulₓ'. -/
 instance IsOpenMap.functor_faithful {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) :
     Faithful hf.Functor where
@@ -621,7 +621,7 @@ open TopologicalSpace
 lean 3 declaration is
   forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) TopCat.{u1} TopCat.largeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X) U)) (TopCat.topologicalSpace.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) TopCat.{u1} TopCat.largeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)))))) U
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)))))) U
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.open_embedding_obj_top TopologicalSpace.Opens.openEmbedding_obj_topₓ'. -/
 @[simp]
 theorem openEmbedding_obj_top {X : TopCat} (U : Opens X) :
@@ -635,7 +635,7 @@ theorem openEmbedding_obj_top {X : TopCat} (U : Opens X) :
 lean 3 declaration is
   forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) TopCat.{u1} TopCat.largeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X) U)) (TopCat.topologicalSpace.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) TopCat.{u1} TopCat.largeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X) U))) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ 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(TopologicalSpace.Opens.toTopCat.{u1} X) U)) (TopCat.topologicalSpace.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) TopCat.{u1} TopCat.largeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X) U)))))
 but is expected to have type
-  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)))))
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)))))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.inclusion_map_eq_top TopologicalSpace.Opens.inclusion_map_eq_topₓ'. -/
 @[simp]
 theorem inclusion_map_eq_top {X : TopCat} (U : Opens X) : (Opens.map U.inclusion).obj U = ⊤ :=
@@ -648,7 +648,7 @@ theorem inclusion_map_eq_top {X : TopCat} (U : Opens X) : (Opens.map U.inclusion
 lean 3 declaration is
   forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)), Eq.{succ u1} (Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) 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(TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) 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(TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) TopCat.{u1} 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u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) U)) (propext (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) U U) True (eq_self_iff_true.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) U)))) trivial))
 but is expected to have type
-  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)), Eq.{succ u1} (Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) 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X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U)) U) (Eq.trans.{1} Prop (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U)) U) (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) U U) True (congrFun.{succ u1, 1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (fun (a._@.Init.Prelude._hyg.170 : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) => Prop) (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) 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(TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U))) (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) U) (congrArg.{succ u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) ((TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) -> Prop) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U)) U (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) (Eq.trans.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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U)))) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)))))) U (congrArg.{succ u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U))))) (TopologicalSpace.Opens.inclusion_map_eq_top.{u1} X U)) (TopologicalSpace.Opens.openEmbedding_obj_top.{u1} X U))) U) (eq_self.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) U))))
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)), Eq.{succ u1} (Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (CategoryTheory.Functor.id.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) U)) (CategoryTheory.NatTrans.app.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) (CategoryTheory.Functor.id.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (CategoryTheory.Adjunction.counit.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} 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(TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) U) (CategoryTheory.eqToHom.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U)) U) (Eq.trans.{1} Prop (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} 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X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U)) U) (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) U U) True (congrFun.{succ u1, 1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (fun (a._@.Init.Prelude._hyg.170 : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) => Prop) (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U))) (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) U) (congrArg.{succ u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) ((TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) -> Prop) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U)) U (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) (Eq.trans.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)))))) U (congrArg.{succ u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (TopCat.topologicalSpace_forget.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_forget.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U))))) (TopologicalSpace.Opens.inclusion_map_eq_top.{u1} X U)) (TopologicalSpace.Opens.openEmbedding_obj_top.{u1} X U))) U) (eq_self.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) U))))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.adjunction_counit_app_self TopologicalSpace.Opens.adjunction_counit_app_selfₓ'. -/
 @[simp]
 theorem adjunction_counit_app_self {X : TopCat} (U : Opens X) :
@@ -659,7 +659,7 @@ theorem adjunction_counit_app_self {X : TopCat} (U : Opens X) :
 lean 3 declaration is
   forall (X : TopCat.{u1}), Eq.{succ u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) TopCat.{u1} TopCat.largeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CompleteLattice.toHasTop.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))) (TopCat.topologicalSpace.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) TopCat.{u1} TopCat.largeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CompleteLattice.toHasTop.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} 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(succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) X (TopologicalSpace.Opens.inclusionTopIso.{u1} X)))
 but is expected to have type
-  forall (X : TopCat.{u1}), Eq.{succ u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) 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X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) X (TopologicalSpace.Opens.inclusion.{u1} X (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) X (TopologicalSpace.Opens.inclusion.{u1} X (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.openEmbedding.{u1} X (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (TopologicalSpace.Opens.map.{u1} X (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) (CategoryTheory.Iso.inv.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) X (TopologicalSpace.Opens.inclusionTopIso.{u1} X)))
+  forall (X : TopCat.{u1}), Eq.{succ u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) (CategoryTheory.Iso.inv.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) X (TopologicalSpace.Opens.inclusionTopIso.{u1} X)))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.inclusion_top_functor TopologicalSpace.Opens.inclusion_top_functorₓ'. -/
 theorem inclusion_top_functor (X : TopCat) :
     (@Opens.openEmbedding X ⊤).IsOpenMap.Functor = map (inclusionTopIso X).inv :=
@@ -676,7 +676,7 @@ theorem inclusion_top_functor (X : TopCat) :
 lean 3 declaration is
   forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y} (hf : IsOpenMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (TopCat.topologicalSpace.{u1} X) (TopCat.topologicalSpace.{u1} Y) (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (fun (_x : ContinuousMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) => (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y)) (ContinuousMap.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} 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 but is expected to have type
-  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y} (hf : IsOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} Y) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Y f)) (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (IsOpenMap.functor.{u1} X Y f hf)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) U)) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y))))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (IsOpenMap.functor.{u1} X Y f hf)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) U)
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y} (hf : IsOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y) (TopCat.topologicalSpace_forget.{u1} X) (TopCat.topologicalSpace_forget.{u1} Y) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Y f)) (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (IsOpenMap.functor.{u1} X Y f hf)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) U)) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y))))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.topologicalSpace_coe.{u1} Y)))))) (IsOpenMap.functor.{u1} X Y f hf)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) U)
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.functor_obj_map_obj TopologicalSpace.Opens.functor_obj_map_objₓ'. -/
 theorem functor_obj_map_obj {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) (U : Opens Y) :
     hf.Functor.obj ((Opens.map f).obj U) = hf.Functor.obj ⊤ ⊓ U :=
@@ -692,7 +692,7 @@ theorem functor_obj_map_obj {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) (U :
 lean 3 declaration is
   forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (V : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} 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 but is expected to have type
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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} 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(TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) V)) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) V U)
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) 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(TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) V)) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))))) V U)
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.functor_map_eq_inf TopologicalSpace.Opens.functor_map_eq_infₓ'. -/
 @[simp]
 theorem functor_map_eq_inf {X : TopCat} (U V : Opens X) :
@@ -707,7 +707,7 @@ theorem functor_map_eq_inf {X : TopCat} (U V : Opens X) :
 lean 3 declaration is
   forall {X : TopCat.{u1}} {U : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) U X) (hf : OpenEmbedding.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) U) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (TopCat.topologicalSpace.{u1} U) (TopCat.topologicalSpace.{u1} X) (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) U X) (fun (_x : ContinuousMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) U) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} U) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X)) => (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) U) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X)) (ContinuousMap.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) U) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} U) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X)) f)) (V : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} U) (TopCat.topologicalSpace.{u1} U)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} U) (TopCat.topologicalSpace.{u1} U)) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ 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succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) U) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X)) (ContinuousMap.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) U) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} U) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X)) f) hf)) V)) V
 but is expected to have type
-  forall {X : TopCat.{u1}} {U : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) U X) (hf : OpenEmbedding.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) U) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} 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TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) U X f)) (V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)))))) (TopologicalSpace.Opens.map.{u1} U X f)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.instTopologicalSpaceα.{u1} U)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (IsOpenMap.functor.{u1} U X f (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) U) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} U) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) U X f) hf))) V)) V
+  forall {X : TopCat.{u1}} {U : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) U X) (hf : OpenEmbedding.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) U) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (TopCat.topologicalSpace_forget.{u1} U) (TopCat.topologicalSpace_forget.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) U X f)) (V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)))))) (TopologicalSpace.Opens.map.{u1} U X f)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} U) (TopCat.topologicalSpace_coe.{u1} U)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (IsOpenMap.functor.{u1} U X f (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) U) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (TopCat.topologicalSpace_forget.{u1} U) (TopCat.topologicalSpace_forget.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) U X f) hf))) V)) V
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_functor_eq' TopologicalSpace.Opens.map_functor_eq'ₓ'. -/
 theorem map_functor_eq' {X U : TopCat} (f : U ⟶ X) (hf : OpenEmbedding f) (V) :
     ((Opens.map f).obj <| hf.IsOpenMap.Functor.obj V) = V :=
@@ -718,7 +718,7 @@ theorem map_functor_eq' {X U : TopCat} (f : U ⟶ X) (hf : OpenEmbedding f) (V)
 lean 3 declaration is
   forall {X : TopCat.{u1}} {U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)} (V : TopologicalSpace.Opens.{u1} (coeSort.{succ u1, succ (succ u1)} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) U) (Subtype.topologicalSpace.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (fun (x : 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(CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X)) (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U))) V)) V
 but is expected to have type
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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V)) V
+  forall {X : TopCat.{u1}} {U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)} (V : TopologicalSpace.Opens.{u1} (Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U)) (instTopologicalSpaceSubtype.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U) (TopCat.topologicalSpace_coe.{u1} X))), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (TopCat.topologicalSpace_forget.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_forget.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V)) V
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_functor_eq TopologicalSpace.Opens.map_functor_eqₓ'. -/
 @[simp]
 theorem map_functor_eq {X : TopCat} {U : Opens X} (V : Opens U) :
@@ -730,7 +730,7 @@ theorem map_functor_eq {X : TopCat} {U : Opens X} (V : Opens U) :
 lean 3 declaration is
   forall {X : TopCat.{u1}} {U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)} (V : TopologicalSpace.Opens.{u1} (coeSort.{succ u1, succ (succ u1)} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) U) (Subtype.topologicalSpace.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (fun (x : coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) => Membership.Mem.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.hasMem.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) x U) (TopCat.topologicalSpace.{u1} X))), Eq.{succ u1} (Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))))) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) 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u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} 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X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} 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u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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U))))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) 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X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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U)))) V)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, 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(TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} 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(TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ConcreteCategory.Forget.{u1, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ConcreteCategory.Forget.{u1, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, 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(TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} 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(TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ConcreteCategory.Forget.{u1, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ConcreteCategory.Forget.{u1, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, 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(TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V)) (fun (_a : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) => Eq.{1} Prop (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) 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(TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) 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X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ConcreteCategory.Forget.{u1, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ConcreteCategory.Forget.{u1, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) 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(TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) 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(TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ConcreteCategory.Forget.{u1, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ConcreteCategory.Forget.{u1, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V)))))
+  forall {X : TopCat.{u1}} {U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)} (V : TopologicalSpace.Opens.{u1} (Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U)) (instTopologicalSpaceSubtype.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X))) x U) (TopCat.topologicalSpace_coe.{u1} X))), Eq.{succ u1} (Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} 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X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) 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(TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} 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instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ConcreteCategory.Forget.{u1, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) => Eq.{1} Prop (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) 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(TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ConcreteCategory.Forget.{u1, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} 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TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V)) (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} 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(Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ConcreteCategory.Forget.{u1, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) _a) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_forget.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ConcreteCategory.Forget.{u1, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} 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(TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) 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TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.topologicalSpace_coe.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.topologicalSpace_coe.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V)))))
 Case conversion may be inaccurate. Consider using '#align topological_space.opens.adjunction_counit_map_functor TopologicalSpace.Opens.adjunction_counit_map_functorₓ'. -/
 @[simp]
 theorem adjunction_counit_map_functor {X : TopCat} {U : Opens X} (V : Opens U) :

mathlib commit https://github.com/leanprover-community/mathlib/commit/9b2b58d6b14b895b2f375108e765cb47de71aebd

@@ -53,6 +53,12 @@ the morphisms `U ⟶ V` are not just proofs `U ≤ V`, but rather
 -/
 
 
+/- warning: topological_space.opens.opens_hom_has_coe_to_fun -> TopologicalSpace.Opens.opensHomHasCoeToFun is a dubious translation:
+lean 3 declaration is
+  forall {X : TopCat.{u1}} {U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)} {V : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)}, CoeFun.{succ u1, succ u1} (Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))))) U V) (fun (f : Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))))) U V) => (coeSort.{succ u1, succ (succ u1)} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) U) -> (coeSort.{succ u1, succ (succ u1)} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) V))
+but is expected to have type
+  forall {X : TopCat.{u1}} {U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)} {V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)}, CoeFun.{succ u1, succ u1} (Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) U V) (fun (f : Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) U V) => (Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) x U)) -> (Subtype.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) x V)))
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.opens_hom_has_coe_to_fun TopologicalSpace.Opens.opensHomHasCoeToFunₓ'. -/
 instance opensHomHasCoeToFun {U V : Opens X} : CoeFun (U ⟶ V) fun f => U → V :=
   ⟨fun f x => ⟨x, f.le x.2⟩⟩
 #align topological_space.opens.opens_hom_has_coe_to_fun TopologicalSpace.Opens.opensHomHasCoeToFun
@@ -62,6 +68,12 @@ We now construct as morphisms various inclusions of open sets.
 -/
 
 
+/- warning: topological_space.opens.inf_le_left -> TopologicalSpace.Opens.infLeLeft is a dubious translation:
+lean 3 declaration is
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (V : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Lattice.toSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))))))) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SemilatticeInf.toHasInf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Lattice.toSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))) U V) U
+but is expected to have type
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) U V) U
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.inf_le_left TopologicalSpace.Opens.infLeLeftₓ'. -/
 -- This is tedious, but necessary because we decided not to allow Prop as morphisms in a category...
 /-- The inclusion `U ⊓ V ⟶ U` as a morphism in the category of open sets.
 -/
@@ -69,30 +81,60 @@ def infLeLeft (U V : Opens X) : U ⊓ V ⟶ U :=
   inf_le_left.Hom
 #align topological_space.opens.inf_le_left TopologicalSpace.Opens.infLeLeft
 
+/- warning: topological_space.opens.inf_le_right -> TopologicalSpace.Opens.infLeRight is a dubious translation:
+lean 3 declaration is
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (V : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Lattice.toSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))))))) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SemilatticeInf.toHasInf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Lattice.toSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))) U V) V
+but is expected to have type
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (Inf.inf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Lattice.toInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (ConditionallyCompleteLattice.toLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) U V) V
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.inf_le_right TopologicalSpace.Opens.infLeRightₓ'. -/
 /-- The inclusion `U ⊓ V ⟶ V` as a morphism in the category of open sets.
 -/
 def infLeRight (U V : Opens X) : U ⊓ V ⟶ V :=
   inf_le_right.Hom
 #align topological_space.opens.inf_le_right TopologicalSpace.Opens.infLeRight
 
+/- warning: topological_space.opens.le_supr -> TopologicalSpace.Opens.leSupr is a dubious translation:
+lean 3 declaration is
+  forall {X : TopCat.{u1}} {ι : Type.{u2}} (U : ι -> (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) (i : ι), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))))) (U i) (supᵢ.{u1, succ u2} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (ConditionallyCompleteLattice.toHasSup.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))) ι U)
+but is expected to have type
+  forall {X : TopCat.{u1}} {ι : Type.{u2}} (U : ι -> (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) (i : ι), Quiver.Hom.{succ u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (U i) (supᵢ.{u1, succ u2} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (ConditionallyCompleteLattice.toSupSet.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))) ι U)
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.le_supr TopologicalSpace.Opens.leSuprₓ'. -/
 /-- The inclusion `U i ⟶ supr U` as a morphism in the category of open sets.
 -/
 def leSupr {ι : Type _} (U : ι → Opens X) (i : ι) : U i ⟶ supᵢ U :=
   (le_supᵢ U i).Hom
 #align topological_space.opens.le_supr TopologicalSpace.Opens.leSupr
 
+/- warning: topological_space.opens.bot_le -> TopologicalSpace.Opens.botLe is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.bot_le TopologicalSpace.Opens.botLeₓ'. -/
 /-- The inclusion `⊥ ⟶ U` as a morphism in the category of open sets.
 -/
 def botLe (U : Opens X) : ⊥ ⟶ U :=
   bot_le.Hom
 #align topological_space.opens.bot_le TopologicalSpace.Opens.botLe
 
+/- warning: topological_space.opens.le_top -> TopologicalSpace.Opens.leTop is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.le_top TopologicalSpace.Opens.leTopₓ'. -/
 /-- The inclusion `U ⟶ ⊤` as a morphism in the category of open sets.
 -/
 def leTop (U : Opens X) : U ⟶ ⊤ :=
   le_top.Hom
 #align topological_space.opens.le_top TopologicalSpace.Opens.leTop
 
+/- warning: topological_space.opens.inf_le_left_apply -> TopologicalSpace.Opens.infLeLeft_apply is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.inf_le_left_apply TopologicalSpace.Opens.infLeLeft_applyₓ'. -/
 -- We do not mark this as a simp lemma because it breaks open `x`.
 -- Nevertheless, it is useful in `sheaf_of_functions`.
 theorem infLeLeft_apply (U V : Opens X) (x) :
@@ -100,56 +142,104 @@ theorem infLeLeft_apply (U V : Opens X) (x) :
   rfl
 #align topological_space.opens.inf_le_left_apply TopologicalSpace.Opens.infLeLeft_apply
 
+/- warning: topological_space.opens.inf_le_left_apply_mk -> TopologicalSpace.Opens.infLeLeft_apply_mk is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.inf_le_left_apply_mk TopologicalSpace.Opens.infLeLeft_apply_mkₓ'. -/
 @[simp]
 theorem infLeLeft_apply_mk (U V : Opens X) (x) (m) :
     (infLeLeft U V) ⟨x, m⟩ = ⟨x, (@inf_le_left _ _ U V : _ ≤ _) m⟩ :=
   rfl
 #align topological_space.opens.inf_le_left_apply_mk TopologicalSpace.Opens.infLeLeft_apply_mk
 
+/- warning: topological_space.opens.le_supr_apply_mk -> TopologicalSpace.Opens.leSupr_apply_mk is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(TopologicalSpace.Opens.leSupr.{u2, u1} X ι U i) x)) (Subtype.mk.{succ u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (fun (x : CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) => Membership.mem.{u2, u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)) (SetLike.instMembership.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)) (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.instSetLikeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X))) x (U i)) x m)) (Subtype.mk.{succ u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (fun (x : CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) => Membership.mem.{u2, u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)) (SetLike.instMembership.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)) (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopologicalSpace.Opens.instSetLikeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X))) x (supᵢ.{u2, succ u1} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)) (ConditionallyCompleteLattice.toSupSet.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)) (CompleteLattice.toConditionallyCompleteLattice.{u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)))) ι U)) x (le_supᵢ.{succ u1, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)) ι (TopologicalSpace.Opens.instCompleteLatticeOpens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)) U i x m))
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.le_supr_apply_mk TopologicalSpace.Opens.leSupr_apply_mkₓ'. -/
 @[simp]
 theorem leSupr_apply_mk {ι : Type _} (U : ι → Opens X) (i : ι) (x) (m) :
     (leSupr U i) ⟨x, m⟩ = ⟨x, (le_supᵢ U i : _) m⟩ :=
   rfl
 #align topological_space.opens.le_supr_apply_mk TopologicalSpace.Opens.leSupr_apply_mk
 
+/- warning: topological_space.opens.to_Top -> TopologicalSpace.Opens.toTopCat is a dubious translation:
+lean 3 declaration is
+  forall (X : TopCat.{u1}), CategoryTheory.Functor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) TopCat.{u1} TopCat.largeCategory.{u1}
+but is expected to have type
+  forall (X : TopCat.{u1}), CategoryTheory.Functor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1}
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.to_Top TopologicalSpace.Opens.toTopCatₓ'. -/
 /-- The functor from open sets in `X` to `Top`,
 realising each open set as a topological space itself.
 -/
-def toTop (X : TopCat.{u}) : Opens X ⥤ TopCat
+def toTopCat (X : TopCat.{u}) : Opens X ⥤ TopCat
     where
   obj U := ⟨U, inferInstance⟩
   map U V i :=
     ⟨fun x => ⟨x.1, i.le x.2⟩,
       (Embedding.continuous_iff embedding_subtype_val).2 continuous_induced_dom⟩
-#align topological_space.opens.to_Top TopologicalSpace.Opens.toTop
-
+#align topological_space.opens.to_Top TopologicalSpace.Opens.toTopCat
+
+/- warning: topological_space.opens.to_Top_map -> TopologicalSpace.Opens.toTopCat_map is a dubious translation:
+lean 3 declaration is
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(TopCat.instTopologicalSpaceα.{u1} X))) x U) x h)) (Subtype.mk.{succ u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (fun (x : CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) => Membership.mem.{u1, u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopologicalSpace.Opens.instSetLikeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) x V) x (Quiver.Hom.le.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.to_Top_map TopologicalSpace.Opens.toTopCat_mapₓ'. -/
 @[simp]
-theorem toTop_map (X : TopCat.{u}) {U V : Opens X} {f : U ⟶ V} {x} {h} :
-    ((toTop X).map f) ⟨x, h⟩ = ⟨x, f.le h⟩ :=
+theorem toTopCat_map (X : TopCat.{u}) {U V : Opens X} {f : U ⟶ V} {x} {h} :
+    ((toTopCat X).map f) ⟨x, h⟩ = ⟨x, f.le h⟩ :=
   rfl
-#align topological_space.opens.to_Top_map TopologicalSpace.Opens.toTop_map
-
+#align topological_space.opens.to_Top_map TopologicalSpace.Opens.toTopCat_map
+
+/- warning: topological_space.opens.inclusion -> TopologicalSpace.Opens.inclusion is a dubious translation:
+lean 3 declaration is
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)), Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) TopCat.{u1} TopCat.largeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X) U) X
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.inclusion TopologicalSpace.Opens.inclusionₓ'. -/
 /-- The inclusion map from an open subset to the whole space, as a morphism in `Top`.
 -/
 @[simps (config := { fullyApplied := false })]
-def inclusion {X : TopCat.{u}} (U : Opens X) : (toTop X).obj U ⟶ X
+def inclusion {X : TopCat.{u}} (U : Opens X) : (toTopCat X).obj U ⟶ X
     where
   toFun := _
   continuous_toFun := continuous_subtype_val
 #align topological_space.opens.inclusion TopologicalSpace.Opens.inclusion
 
+/- warning: topological_space.opens.open_embedding -> TopologicalSpace.Opens.openEmbedding is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.open_embedding TopologicalSpace.Opens.openEmbeddingₓ'. -/
 theorem openEmbedding {X : TopCat.{u}} (U : Opens X) : OpenEmbedding (inclusion U) :=
   IsOpen.openEmbedding_subtype_val U.2
 #align topological_space.opens.open_embedding TopologicalSpace.Opens.openEmbedding
 
+/- warning: topological_space.opens.inclusion_top_iso -> TopologicalSpace.Opens.inclusionTopIso is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.inclusion_top_iso TopologicalSpace.Opens.inclusionTopIsoₓ'. -/
 /-- The inclusion of the top open subset (i.e. the whole space) is an isomorphism.
 -/
-def inclusionTopIso (X : TopCat.{u}) : (toTop X).obj ⊤ ≅ X
+def inclusionTopIso (X : TopCat.{u}) : (toTopCat X).obj ⊤ ≅ X
     where
   Hom := inclusion ⊤
   inv := ⟨fun x => ⟨x, trivial⟩, continuous_def.2 fun U ⟨S, hS, hSU⟩ => hSU ▸ hS⟩
 #align topological_space.opens.inclusion_top_iso TopologicalSpace.Opens.inclusionTopIso
 
+/- warning: topological_space.opens.map -> TopologicalSpace.Opens.map is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map TopologicalSpace.Opens.mapₓ'. -/
 /-- `opens.map f` gives the functor from open sets in Y to open set in X,
     given by taking preimages under f. -/
 def map (f : X ⟶ Y) : Opens Y ⥤ Opens X
@@ -158,72 +248,150 @@ def map (f : X ⟶ Y) : Opens Y ⥤ Opens X
   map U V i := ⟨⟨fun x h => i.le h⟩⟩
 #align topological_space.opens.map TopologicalSpace.Opens.map
 
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_coe TopologicalSpace.Opens.map_coeₓ'. -/
 theorem map_coe (f : X ⟶ Y) (U : Opens Y) : ↑((map f).obj U) = f ⁻¹' U :=
   rfl
 #align topological_space.opens.map_coe TopologicalSpace.Opens.map_coe
 
+/- warning: topological_space.opens.map_obj -> TopologicalSpace.Opens.map_obj is a dubious translation:
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(CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y) f) U p))
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_obj TopologicalSpace.Opens.map_objₓ'. -/
 @[simp]
 theorem map_obj (f : X ⟶ Y) (U) (p) : (map f).obj ⟨U, p⟩ = ⟨f ⁻¹' U, p.preimage f.Continuous⟩ :=
   rfl
 #align topological_space.opens.map_obj TopologicalSpace.Opens.map_obj
 
+/- warning: topological_space.opens.map_id_obj -> TopologicalSpace.Opens.map_id_obj is a dubious translation:
+lean 3 declaration is
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1}) X)) U) U
+but is expected to have type
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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X))) U) U
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_id_obj TopologicalSpace.Opens.map_id_objₓ'. -/
 @[simp]
 theorem map_id_obj (U : Opens X) : (map (𝟙 X)).obj U = U :=
   let ⟨_, _⟩ := U
   rfl
 #align topological_space.opens.map_id_obj TopologicalSpace.Opens.map_id_obj
 
+/- warning: topological_space.opens.map_id_obj' -> TopologicalSpace.Opens.map_id_obj' is a dubious translation:
+lean 3 declaration is
+  forall {X : TopCat.{u1}} (U : Set.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X)) (p : IsOpen.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X) U), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1}) X)) (TopologicalSpace.Opens.mk.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X) U p)) (TopologicalSpace.Opens.mk.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X) U p)
+but is expected to have type
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X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X))) (TopologicalSpace.Opens.mk.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X) U p)) (TopologicalSpace.Opens.mk.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X) U p)
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_id_obj' TopologicalSpace.Opens.map_id_obj'ₓ'. -/
 @[simp]
 theorem map_id_obj' (U) (p) : (map (𝟙 X)).obj ⟨U, p⟩ = ⟨U, p⟩ :=
   rfl
 #align topological_space.opens.map_id_obj' TopologicalSpace.Opens.map_id_obj'
 
+/- warning: topological_space.opens.map_id_obj_unop -> TopologicalSpace.Opens.map_id_obj_unop is a dubious translation:
+lean 3 declaration is
+  forall {X : TopCat.{u1}} (U : Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1}) X)) (Opposite.unop.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) U)) (Opposite.unop.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) U)
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(TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X))) (Opposite.unop.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) U)) (Opposite.unop.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) U)
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_id_obj_unop TopologicalSpace.Opens.map_id_obj_unopₓ'. -/
 @[simp]
 theorem map_id_obj_unop (U : (Opens X)ᵒᵖ) : (map (𝟙 X)).obj (unop U) = unop U :=
   let ⟨_, _⟩ := U.unop
   rfl
 #align topological_space.opens.map_id_obj_unop TopologicalSpace.Opens.map_id_obj_unop
 
+/- warning: topological_space.opens.op_map_id_obj -> TopologicalSpace.Opens.op_map_id_obj is a dubious translation:
+lean 3 declaration is
+  forall {X : TopCat.{u1}} (U : Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))), Eq.{succ u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) 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TopCat.largeCategory.{u1}) X))) U) U
+but is expected to have type
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(TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X X (CategoryTheory.CategoryStruct.id.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X)))) U) U
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.op_map_id_obj TopologicalSpace.Opens.op_map_id_objₓ'. -/
 @[simp]
 theorem op_map_id_obj (U : (Opens X)ᵒᵖ) : (map (𝟙 X)).op.obj U = U := by simp
 #align topological_space.opens.op_map_id_obj TopologicalSpace.Opens.op_map_id_obj
 
+/- warning: topological_space.opens.le_map_top -> TopologicalSpace.Opens.leMapTop is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.le_map_top TopologicalSpace.Opens.leMapTopₓ'. -/
 /-- The inclusion `U ⟶ (map f).obj ⊤` as a morphism in the category of open sets.
 -/
 def leMapTop (f : X ⟶ Y) (U : Opens X) : U ⟶ (map f).obj ⊤ :=
   leTop U
 #align topological_space.opens.le_map_top TopologicalSpace.Opens.leMapTop
 
+/- warning: topological_space.opens.map_comp_obj -> TopologicalSpace.Opens.map_comp_obj is a dubious translation:
+lean 3 declaration is
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u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Z) (TopCat.topologicalSpace.{u1} Z))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (TopologicalSpace.Opens.map.{u1} Y Z g) U))
+but is expected to have type
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {Z : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Y Z) (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(TopCat.instTopologicalSpaceα.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.map.{u1} Y Z g)) U))
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp_obj TopologicalSpace.Opens.map_comp_objₓ'. -/
 @[simp]
 theorem map_comp_obj (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
     (map (f ≫ g)).obj U = (map f).obj ((map g).obj U) :=
   rfl
 #align topological_space.opens.map_comp_obj TopologicalSpace.Opens.map_comp_obj
 
+/- warning: topological_space.opens.map_comp_obj' -> TopologicalSpace.Opens.map_comp_obj' is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp_obj' TopologicalSpace.Opens.map_comp_obj'ₓ'. -/
 @[simp]
 theorem map_comp_obj' (f : X ⟶ Y) (g : Y ⟶ Z) (U) (p) :
     (map (f ≫ g)).obj ⟨U, p⟩ = (map f).obj ((map g).obj ⟨U, p⟩) :=
   rfl
 #align topological_space.opens.map_comp_obj' TopologicalSpace.Opens.map_comp_obj'
 
+/- warning: topological_space.opens.map_comp_map -> TopologicalSpace.Opens.map_comp_map is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp_map TopologicalSpace.Opens.map_comp_mapₓ'. -/
 @[simp]
 theorem map_comp_map (f : X ⟶ Y) (g : Y ⟶ Z) {U V} (i : U ⟶ V) :
     (map (f ≫ g)).map i = (map f).map ((map g).map i) :=
   rfl
 #align topological_space.opens.map_comp_map TopologicalSpace.Opens.map_comp_map
 
+/- warning: topological_space.opens.map_comp_obj_unop -> TopologicalSpace.Opens.map_comp_obj_unop is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp_obj_unop TopologicalSpace.Opens.map_comp_obj_unopₓ'. -/
 @[simp]
 theorem map_comp_obj_unop (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
     (map (f ≫ g)).obj (unop U) = (map f).obj ((map g).obj (unop U)) :=
   rfl
 #align topological_space.opens.map_comp_obj_unop TopologicalSpace.Opens.map_comp_obj_unop
 
+/- warning: topological_space.opens.op_map_comp_obj -> TopologicalSpace.Opens.op_map_comp_obj is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {Z : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Y Z) (U : Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z))), Eq.{succ u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z))))))))) (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z))))))) (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (CategoryTheory.Functor.op.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Z (CategoryTheory.CategoryStruct.comp.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1}) X Y Z f g)))) U) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.map.{u1} X Y f))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (PartialOrder.toPreorder.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (Opposite.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y))) (CategoryTheory.Category.opposite.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) 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(TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Z) (TopCat.instTopologicalSpaceα.{u1} Z)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.map.{u1} Y Z g))) U))
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.op_map_comp_obj TopologicalSpace.Opens.op_map_comp_objₓ'. -/
 @[simp]
 theorem op_map_comp_obj (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
     (map (f ≫ g)).op.obj U = (map f).op.obj ((map g).op.obj U) :=
   rfl
 #align topological_space.opens.op_map_comp_obj TopologicalSpace.Opens.op_map_comp_obj
 
+/- warning: topological_space.opens.map_supr -> TopologicalSpace.Opens.map_supᵢ is a dubious translation:
+lean 3 declaration is
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) {ι : Type.{u2}} (U : ι -> (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) 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+but is expected to have type
+  forall {X : TopCat.{u2}} {Y : TopCat.{u2}} (f : Quiver.Hom.{succ u2, succ u2} TopCat.{u2} (CategoryTheory.CategoryStruct.toQuiver.{u2, succ u2} TopCat.{u2} (CategoryTheory.Category.toCategoryStruct.{u2, succ u2} TopCat.{u2} instTopCatLargeCategory.{u2})) X Y) {ι : Type.{u1}} (U : ι -> (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.instTopologicalSpaceα.{u2} Y))), Eq.{succ u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} X) (TopCat.instTopologicalSpaceα.{u2} X)) (Prefunctor.obj.{succ u2, succ u2, u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.instTopologicalSpaceα.{u2} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u2, u2} (TopologicalSpace.Opens.{u2} (CategoryTheory.Bundled.α.{u2, u2} TopologicalSpace.{u2} Y) (TopCat.instTopologicalSpaceα.{u2} Y)) (CategoryTheory.Category.toCategoryStruct.{u2, u2} (TopologicalSpace.Opens.{u2} 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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_supr TopologicalSpace.Opens.map_supᵢₓ'. -/
 theorem map_supᵢ (f : X ⟶ Y) {ι : Type _} (U : ι → Opens Y) :
     (map f).obj (supᵢ U) = supᵢ ((map f).obj ∘ U) :=
   by
@@ -235,6 +403,12 @@ section
 
 variable (X)
 
+/- warning: topological_space.opens.map_id -> TopologicalSpace.Opens.mapId is a dubious translation:
+lean 3 declaration is
+  forall (X : TopCat.{u1}), CategoryTheory.Iso.{u1, u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} 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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_id TopologicalSpace.Opens.mapIdₓ'. -/
 /-- The functor `opens X ⥤ opens X` given by taking preimages under the identity function
 is naturally isomorphic to the identity functor.
 -/
@@ -245,6 +419,12 @@ def mapId : map (𝟙 X) ≅ 𝟭 (Opens X)
   inv := { app := fun U => eqToHom (map_id_obj U).symm }
 #align topological_space.opens.map_id TopologicalSpace.Opens.mapId
 
+/- warning: topological_space.opens.map_id_eq -> TopologicalSpace.Opens.map_id_eq is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_id_eq TopologicalSpace.Opens.map_id_eqₓ'. -/
 theorem map_id_eq : map (𝟙 X) = 𝟭 (Opens X) :=
   by
   unfold map
@@ -256,6 +436,12 @@ theorem map_id_eq : map (𝟙 X) = 𝟭 (Opens X) :=
 
 end
 
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp TopologicalSpace.Opens.mapCompₓ'. -/
 /-- The natural isomorphism between taking preimages under `f ≫ g`, and the composite
 of taking preimages under `g`, then preimages under `f`.
 -/
@@ -266,10 +452,22 @@ def mapComp (f : X ⟶ Y) (g : Y ⟶ Z) : map (f ≫ g) ≅ map g ⋙ map f
   inv := { app := fun U => eqToHom (map_comp_obj f g U).symm }
 #align topological_space.opens.map_comp TopologicalSpace.Opens.mapComp
 
+/- warning: topological_space.opens.map_comp_eq -> TopologicalSpace.Opens.map_comp_eq is a dubious translation:
+lean 3 declaration is
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(PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_comp_eq TopologicalSpace.Opens.map_comp_eqₓ'. -/
 theorem map_comp_eq (f : X ⟶ Y) (g : Y ⟶ Z) : map (f ≫ g) = map g ⋙ map f :=
   rfl
 #align topological_space.opens.map_comp_eq TopologicalSpace.Opens.map_comp_eq
 
+/- warning: topological_space.opens.map_iso -> TopologicalSpace.Opens.mapIso is a dubious translation:
+lean 3 declaration is
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (g : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y), (Eq.{succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) f g) -> (CategoryTheory.Iso.{u1, u1} (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))) (CategoryTheory.Functor.category.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f) (TopologicalSpace.Opens.map.{u1} X Y g))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_iso TopologicalSpace.Opens.mapIsoₓ'. -/
 -- We could make `f g` implicit here, but it's nice to be able to see when
 -- they are the identity (often!)
 /-- If two continuous maps `f g : X ⟶ Y` are equal,
@@ -280,6 +478,12 @@ def mapIso (f g : X ⟶ Y) (h : f = g) : map f ≅ map g :=
     (by obviously)
 #align topological_space.opens.map_iso TopologicalSpace.Opens.mapIso
 
+/- warning: topological_space.opens.map_eq -> TopologicalSpace.Opens.map_eq is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_eq TopologicalSpace.Opens.map_eqₓ'. -/
 theorem map_eq (f g : X ⟶ Y) (h : f = g) : map f = map g :=
   by
   unfold map
@@ -290,17 +494,35 @@ theorem map_eq (f g : X ⟶ Y) (h : f = g) : map f = map g :=
   assumption'
 #align topological_space.opens.map_eq TopologicalSpace.Opens.map_eq
 
+/- warning: topological_space.opens.map_iso_refl -> TopologicalSpace.Opens.mapIso_refl is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_iso_refl TopologicalSpace.Opens.mapIso_reflₓ'. -/
 @[simp]
 theorem mapIso_refl (f : X ⟶ Y) (h) : mapIso f f h = Iso.refl (map _) :=
   rfl
 #align topological_space.opens.map_iso_refl TopologicalSpace.Opens.mapIso_refl
 
+/- warning: topological_space.opens.map_iso_hom_app -> TopologicalSpace.Opens.mapIso_hom_app is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_iso_hom_app TopologicalSpace.Opens.mapIso_hom_appₓ'. -/
 @[simp]
 theorem mapIso_hom_app (f g : X ⟶ Y) (h : f = g) (U : Opens Y) :
     (mapIso f g h).Hom.app U = eqToHom (congr_fun (congr_arg Functor.obj (congr_arg map h)) U) :=
   rfl
 #align topological_space.opens.map_iso_hom_app TopologicalSpace.Opens.mapIso_hom_app
 
+/- warning: topological_space.opens.map_iso_inv_app -> TopologicalSpace.Opens.mapIso_inv_app is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y _a)) U))) (Eq.refl.{1} Prop (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y g)) U) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y f)) U))) g h)) (Eq.refl.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} X Y g)) U))))
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_iso_inv_app TopologicalSpace.Opens.mapIso_inv_appₓ'. -/
 @[simp]
 theorem mapIso_inv_app (f g : X ⟶ Y) (h : f = g) (U : Opens Y) :
     (mapIso f g h).inv.app U =
@@ -308,6 +530,12 @@ theorem mapIso_inv_app (f g : X ⟶ Y) (h : f = g) (U : Opens Y) :
   rfl
 #align topological_space.opens.map_iso_inv_app TopologicalSpace.Opens.mapIso_inv_app
 
+/- warning: topological_space.opens.map_map_iso -> TopologicalSpace.Opens.mapMapIso is a dubious translation:
+lean 3 declaration is
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}}, (CategoryTheory.Iso.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1} X Y) -> (CategoryTheory.Equivalence.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))))
+but is expected to have type
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}}, (CategoryTheory.Iso.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} X Y) -> (CategoryTheory.Equivalence.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_map_iso TopologicalSpace.Opens.mapMapIsoₓ'. -/
 /-- A homeomorphism of spaces gives an equivalence of categories of open sets.
 
 TODO: define `order_iso.equivalence`, use it.
@@ -331,6 +559,12 @@ def mapMapIso {X Y : TopCat.{u}} (H : X ≅ Y) : Opens Y ≌ Opens X
 
 end TopologicalSpace.Opens
 
+/- warning: is_open_map.functor -> IsOpenMap.functor is a dubious translation:
+lean 3 declaration is
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y}, (IsOpenMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (TopCat.topologicalSpace.{u1} X) (TopCat.topologicalSpace.{u1} Y) (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (fun (_x : ContinuousMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) => (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y)) (ContinuousMap.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) f)) -> (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))))
+but is expected to have type
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y}, (IsOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} Y) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Y f)) -> (CategoryTheory.Functor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))))
+Case conversion may be inaccurate. Consider using '#align is_open_map.functor IsOpenMap.functorₓ'. -/
 /-- An open map `f : X ⟶ Y` induces a functor `opens X ⥤ opens Y`.
 -/
 @[simps]
@@ -340,6 +574,12 @@ def IsOpenMap.functor {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) : Opens X
   map U V h := ⟨⟨Set.image_subset _ h.down.down⟩⟩
 #align is_open_map.functor IsOpenMap.functor
 
+/- warning: is_open_map.adjunction -> IsOpenMap.adjunction is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align is_open_map.adjunction IsOpenMap.adjunctionₓ'. -/
 /-- An open map `f : X ⟶ Y` induces an adjunction between `opens X` and `opens Y`.
 -/
 def IsOpenMap.adjunction {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) :
@@ -349,6 +589,12 @@ def IsOpenMap.adjunction {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) :
       counit := { app := fun V => homOfLE fun y ⟨x, hfxV, hxy⟩ => hxy ▸ hfxV } }
 #align is_open_map.adjunction IsOpenMap.adjunction
 
+/- warning: is_open_map.functor_full_of_mono -> IsOpenMap.functorFullOfMono is a dubious translation:
+lean 3 declaration is
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y} (hf : IsOpenMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (TopCat.topologicalSpace.{u1} X) (TopCat.topologicalSpace.{u1} Y) (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (fun (_x : ContinuousMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) => (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y)) (ContinuousMap.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) f)) [H : CategoryTheory.Mono.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1} X Y f], CategoryTheory.Full.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (IsOpenMap.functor.{u1} X Y f hf)
+but is expected to have type
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y} (hf : IsOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} Y) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Y f)) [H : CategoryTheory.Mono.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} X Y f], CategoryTheory.Full.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (IsOpenMap.functor.{u1} X Y f hf)
+Case conversion may be inaccurate. Consider using '#align is_open_map.functor_full_of_mono IsOpenMap.functorFullOfMonoₓ'. -/
 instance IsOpenMap.functorFullOfMono {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) [H : Mono f] :
     Full hf.Functor
     where preimage U V i :=
@@ -357,6 +603,12 @@ instance IsOpenMap.functorFullOfMono {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMa
       exact (TopCat.mono_iff_injective f).mp H Eq ▸ hy
 #align is_open_map.functor_full_of_mono IsOpenMap.functorFullOfMono
 
+/- warning: is_open_map.functor_faithful -> IsOpenMap.functor_faithful is a dubious translation:
+lean 3 declaration is
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y} (hf : IsOpenMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (TopCat.topologicalSpace.{u1} X) (TopCat.topologicalSpace.{u1} Y) (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (fun (_x : ContinuousMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) => (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y)) (ContinuousMap.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) f)), CategoryTheory.Faithful.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X))))) (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (SetLike.partialOrder.{u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y)) (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopologicalSpace.Opens.setLike.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} Y) (TopCat.topologicalSpace.{u1} Y))))) (IsOpenMap.functor.{u1} X Y f hf)
+but is expected to have type
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} {f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y} (hf : IsOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} Y) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Y f)), CategoryTheory.Faithful.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} Y) (TopCat.instTopologicalSpaceα.{u1} Y)))))) (IsOpenMap.functor.{u1} X Y f hf)
+Case conversion may be inaccurate. Consider using '#align is_open_map.functor_faithful IsOpenMap.functor_faithfulₓ'. -/
 instance IsOpenMap.functor_faithful {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) :
     Faithful hf.Functor where
 #align is_open_map.functor_faithful IsOpenMap.functor_faithful
@@ -365,6 +617,12 @@ namespace TopologicalSpace.Opens
 
 open TopologicalSpace
 
+/- warning: topological_space.opens.open_embedding_obj_top -> TopologicalSpace.Opens.openEmbedding_obj_top is a dubious translation:
+lean 3 declaration is
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CategoryTheory.Functor.obj.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} (CategoryTheory.Functor.obj.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ 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+but is expected to have type
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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.open_embedding_obj_top TopologicalSpace.Opens.openEmbedding_obj_topₓ'. -/
 @[simp]
 theorem openEmbedding_obj_top {X : TopCat} (U : Opens X) :
     U.OpenEmbedding.IsOpenMap.Functor.obj ⊤ = U :=
@@ -373,6 +631,12 @@ theorem openEmbedding_obj_top {X : TopCat} (U : Opens X) :
   exact set.image_univ.trans Subtype.range_coe
 #align topological_space.opens.open_embedding_obj_top TopologicalSpace.Opens.openEmbedding_obj_top
 
+/- warning: topological_space.opens.inclusion_map_eq_top -> TopologicalSpace.Opens.inclusion_map_eq_top is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)))))
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.inclusion_map_eq_top TopologicalSpace.Opens.inclusion_map_eq_topₓ'. -/
 @[simp]
 theorem inclusion_map_eq_top {X : TopCat} (U : Opens X) : (Opens.map U.inclusion).obj U = ⊤ :=
   by
@@ -380,11 +644,23 @@ theorem inclusion_map_eq_top {X : TopCat} (U : Opens X) : (Opens.map U.inclusion
   exact Subtype.coe_preimage_self _
 #align topological_space.opens.inclusion_map_eq_top TopologicalSpace.Opens.inclusion_map_eq_top
 
+/- warning: topological_space.opens.adjunction_counit_app_self -> TopologicalSpace.Opens.adjunction_counit_app_self is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) 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(TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (CategoryTheory.Adjunction.counit.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} 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U))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U)) U) (Eq.trans.{1} Prop (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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U)))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) 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X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U)) U) (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) U U) True (congrFun.{succ u1, 1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (fun (a._@.Init.Prelude._hyg.170 : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) => Prop) (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U))) (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) U) (congrArg.{succ u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) ((TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) -> Prop) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U)) U (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))) (Eq.trans.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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U)))) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} 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u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)))))) U (congrArg.{succ u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) U) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} 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U))))) (TopologicalSpace.Opens.inclusion_map_eq_top.{u1} X U)) (TopologicalSpace.Opens.openEmbedding_obj_top.{u1} X U))) U) (eq_self.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) U))))
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.adjunction_counit_app_self TopologicalSpace.Opens.adjunction_counit_app_selfₓ'. -/
 @[simp]
 theorem adjunction_counit_app_self {X : TopCat} (U : Opens X) :
     U.OpenEmbedding.IsOpenMap.Adjunction.counit.app U = eqToHom (by simp) := by ext
 #align topological_space.opens.adjunction_counit_app_self TopologicalSpace.Opens.adjunction_counit_app_self
 
+/- warning: topological_space.opens.inclusion_top_functor -> TopologicalSpace.Opens.inclusion_top_functor is a dubious translation:
+lean 3 declaration is
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u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X))))) X (TopologicalSpace.Opens.inclusion.{u1} X (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) (Top.top.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toTop.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.inclusion_top_functor TopologicalSpace.Opens.inclusion_top_functorₓ'. -/
 theorem inclusion_top_functor (X : TopCat) :
     (@Opens.openEmbedding X ⊤).IsOpenMap.Functor = map (inclusionTopIso X).inv :=
   by
@@ -396,6 +672,12 @@ theorem inclusion_top_functor (X : TopCat) :
   iterate 2 apply inclusion_top_functor.obj_eq
 #align topological_space.opens.inclusion_top_functor TopologicalSpace.Opens.inclusion_top_functor
 
+/- warning: topological_space.opens.functor_obj_map_obj -> TopologicalSpace.Opens.functor_obj_map_obj is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.functor_obj_map_obj TopologicalSpace.Opens.functor_obj_map_objₓ'. -/
 theorem functor_obj_map_obj {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) (U : Opens Y) :
     hf.Functor.obj ((Opens.map f).obj U) = hf.Functor.obj ⊤ ⊓ U :=
   by
@@ -406,6 +688,12 @@ theorem functor_obj_map_obj {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) (U :
     exact ⟨x, hx, rfl⟩
 #align topological_space.opens.functor_obj_map_obj TopologicalSpace.Opens.functor_obj_map_obj
 
+/- warning: topological_space.opens.functor_map_eq_inf -> TopologicalSpace.Opens.functor_map_eq_inf is a dubious translation:
+lean 3 declaration is
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TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.Opens.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)) (TopologicalSpace.Opens.completeLattice.{u1} (coeSort.{succ (succ u1), succ (succ u1)} TopCat.{u1} Type.{u1} TopCat.hasCoeToSort.{u1} X) (TopCat.topologicalSpace.{u1} X)))))) V U)
+but is expected to have type
+  forall {X : TopCat.{u1}} (U : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (V : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)), Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} 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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.functor_map_eq_inf TopologicalSpace.Opens.functor_map_eq_infₓ'. -/
 @[simp]
 theorem functor_map_eq_inf {X : TopCat} (U V : Opens X) :
     U.OpenEmbedding.IsOpenMap.Functor.obj ((Opens.map U.inclusion).obj V) = V ⊓ U :=
@@ -415,17 +703,35 @@ theorem functor_map_eq_inf {X : TopCat} (U V : Opens X) :
   simpa
 #align topological_space.opens.functor_map_eq_inf TopologicalSpace.Opens.functor_map_eq_inf
 
+/- warning: topological_space.opens.map_functor_eq' -> TopologicalSpace.Opens.map_functor_eq' is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_functor_eq' TopologicalSpace.Opens.map_functor_eq'ₓ'. -/
 theorem map_functor_eq' {X U : TopCat} (f : U ⟶ X) (hf : OpenEmbedding f) (V) :
     ((Opens.map f).obj <| hf.IsOpenMap.Functor.obj V) = V :=
   Opens.ext <| Set.preimage_image_eq _ hf.inj
 #align topological_space.opens.map_functor_eq' TopologicalSpace.Opens.map_functor_eq'
 
+/- warning: topological_space.opens.map_functor_eq -> TopologicalSpace.Opens.map_functor_eq is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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+Case conversion may be inaccurate. Consider using '#align topological_space.opens.map_functor_eq TopologicalSpace.Opens.map_functor_eqₓ'. -/
 @[simp]
 theorem map_functor_eq {X : TopCat} {U : Opens X} (V : Opens U) :
     ((Opens.map U.inclusion).obj <| U.OpenEmbedding.IsOpenMap.Functor.obj V) = V :=
   TopologicalSpace.Opens.map_functor_eq' _ U.OpenEmbedding V
 #align topological_space.opens.map_functor_eq TopologicalSpace.Opens.map_functor_eq
 
+/- warning: topological_space.opens.adjunction_counit_map_functor -> TopologicalSpace.Opens.adjunction_counit_map_functor is a dubious translation:
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+but is expected to have type
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(TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U))))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} 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(CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) 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(TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} 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X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} 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(CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} 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(TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) 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(Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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(TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} 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X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ConcreteCategory.Forget.{u1, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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U)))) V))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) 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(TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ 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(TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ConcreteCategory.Forget.{u1, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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U)))) V))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) 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(TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ConcreteCategory.Forget.{u1, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, 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U)))) V))) (Eq.ndrec.{0, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V)) (fun (_a : TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) => Eq.{1} Prop (Eq.{succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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(Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ConcreteCategory.Forget.{u1, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) 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(CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) 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(TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) 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(TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.map.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U))) (Prefunctor.obj.{succ u1, succ u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) 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(TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} 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(TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) (IsOpenMap.functor.{u1} (Prefunctor.obj.{succ u1, 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(CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceα.{u1} (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U))))))) (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} 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TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U) (OpenEmbedding.isOpenMap.{u1, u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.ConcreteCategory.Forget.{u1, u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} 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(TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) 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(CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U)) (TopCat.instTopologicalSpaceObjTopCatToQuiverToCategoryStructInstTopCatLargeCategoryTypeTypesToPrefunctorForgetConcreteCategory.{u1} X) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) (Prefunctor.obj.{succ u1, succ u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) 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TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))))) TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, succ u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (Preorder.smallCategory.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (PartialOrder.toPreorder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteSemilatticeInf.toPartialOrder.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (CompleteLattice.toCompleteSemilatticeInf.{u1} (TopologicalSpace.Opens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)) (TopologicalSpace.Opens.instCompleteLatticeOpens.{u1} (CategoryTheory.Bundled.α.{u1, u1} TopologicalSpace.{u1} X) (TopCat.instTopologicalSpaceα.{u1} X)))))) TopCat.{u1} instTopCatLargeCategory.{u1} (TopologicalSpace.Opens.toTopCat.{u1} X)) U) X (TopologicalSpace.Opens.inclusion.{u1} X U)) (TopologicalSpace.Opens.openEmbedding.{u1} X U)))) V)))))
+Case conversion may be inaccurate. Consider using '#align topological_space.opens.adjunction_counit_map_functor TopologicalSpace.Opens.adjunction_counit_map_functorₓ'. -/
 @[simp]
 theorem adjunction_counit_map_functor {X : TopCat} {U : Opens X} (V : Opens U) :
     U.OpenEmbedding.IsOpenMap.Adjunction.counit.app (U.OpenEmbedding.IsOpenMap.Functor.obj V) =

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

Before this PR, Functor.Full contained the data of the preimage of maps by a full functor F. This PR makes Functor.Full a proposition. This is to prevent any diamond to appear.

The lemma Functor.image_preimage is also renamed Functor.map_preimage.

Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>

@@ -325,10 +325,10 @@ def IsOpenMap.adjunction {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) :
 
 instance IsOpenMap.functorFullOfMono {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) [H : Mono f] :
     hf.functor.Full where
-  preimage i :=
-    homOfLE fun x hx => by
+  map_surjective i :=
+    ⟨homOfLE fun x hx => by
       obtain ⟨y, hy, eq⟩ := i.le ⟨x, hx, rfl⟩
-      exact (TopCat.mono_iff_injective f).mp H eq ▸ hy
+      exact (TopCat.mono_iff_injective f).mp H eq ▸ hy, rfl⟩
 #align is_open_map.functor_full_of_mono IsOpenMap.functorFullOfMono
 
 instance IsOpenMap.functor_faithful {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) :

These notions on functors are now Functor.Full, Functor.Faithful, Functor.EssSurj, Functor.IsEquivalence, Functor.ReflectsIsomorphisms. Deprecated aliases are introduced for the previous names.

@@ -324,7 +324,7 @@ def IsOpenMap.adjunction {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) :
 #align is_open_map.adjunction IsOpenMap.adjunction
 
 instance IsOpenMap.functorFullOfMono {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) [H : Mono f] :
-    Full hf.functor where
+    hf.functor.Full where
   preimage i :=
     homOfLE fun x hx => by
       obtain ⟨y, hy, eq⟩ := i.le ⟨x, hx, rfl⟩
@@ -332,7 +332,7 @@ instance IsOpenMap.functorFullOfMono {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMa
 #align is_open_map.functor_full_of_mono IsOpenMap.functorFullOfMono
 
 instance IsOpenMap.functor_faithful {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) :
-    Faithful hf.functor where
+    hf.functor.Faithful where
 #align is_open_map.functor_faithful IsOpenMap.functor_faithful
 
 lemma OpenEmbedding.functor_obj_injective {X Y : TopCat} {f : X ⟶ Y} (hf : OpenEmbedding f) :

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

• converts "--porting note" into "-- Porting note";
• converts "porting note" into "Porting note".

@@ -381,7 +381,7 @@ theorem functor_obj_map_obj {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) (U :
     exact ⟨x, hx, rfl⟩
 #align topological_space.opens.functor_obj_map_obj TopologicalSpace.Opens.functor_obj_map_obj
 
--- porting note: added to ease the proof of `functor_map_eq_inf`
+-- Porting note: added to ease the proof of `functor_map_eq_inf`
 lemma set_range_forget_map_inclusion {X : TopCat} (U : Opens X) :
     Set.range ((forget TopCat).map (inclusion U)) = (U : Set X) := by
   ext x

Fixed AlgebraicGeometry/AffineSchemes.lean, AlgebraicGeometry/Morphisms/QuasiSeparated.lean and AlgebraicGeometry/Morphisms/RingHomProperties.lean.

Co-authored-by: Mario Carneiro <di.gama@gmail.com> Co-authored-by: Andrew Yang <36414270+erdOne@users.noreply.github.com> Co-authored-by: Johan Commelin <johan@commelin.net> Co-authored-by: Mauricio Collares <mauricio@collares.org>

@@ -184,6 +184,9 @@ theorem map_id_obj_unop (U : (Opens X)ᵒᵖ) : (map (𝟙 X)).obj (unop U) = un
 theorem op_map_id_obj (U : (Opens X)ᵒᵖ) : (map (𝟙 X)).op.obj U = U := by simp
 #align topological_space.opens.op_map_id_obj TopologicalSpace.Opens.op_map_id_obj
 
+@[simp]
+lemma map_top (f : X ⟶ Y) : (Opens.map f).obj ⊤ = ⊤ := rfl
+
 /-- The inclusion `U ⟶ (map f).obj ⊤` as a morphism in the category of open sets.
 -/
 noncomputable def leMapTop (f : X ⟶ Y) (U : Opens X) : U ⟶ (map f).obj ⊤ :=
@@ -332,6 +335,10 @@ instance IsOpenMap.functor_faithful {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap
     Faithful hf.functor where
 #align is_open_map.functor_faithful IsOpenMap.functor_faithful
 
+lemma OpenEmbedding.functor_obj_injective {X Y : TopCat} {f : X ⟶ Y} (hf : OpenEmbedding f) :
+    Function.Injective hf.isOpenMap.functor.obj :=
+  fun _ _ e ↦ Opens.ext (Set.image_injective.mpr hf.inj (congr_arg (↑· : Opens Y → Set Y) e))
+
 namespace TopologicalSpace.Opens
 
 open TopologicalSpace

Use .asFn and .lemmasOnly as simps configuration options.

For reference, these are defined here:

https://github.com/leanprover-community/mathlib4/blob/4055c8b471380825f07416b12cb0cf266da44d84/Mathlib/Tactic/Simps/Basic.lean#L843-L851

@@ -125,7 +125,7 @@ set_option linter.uppercaseLean3 false in
 
 /-- The inclusion map from an open subset to the whole space, as a morphism in `TopCat`.
 -/
-@[simps (config := { fullyApplied := false })]
+@[simps (config := .asFn)]
 def inclusion {X : TopCat.{u}} (U : Opens X) : (toTopCat X).obj U ⟶ X where
   toFun := _
   continuous_toFun := continuous_subtype_val

Also provides new notations and fixed slow proofs

Co-authored-by: Andrew Yang <36414270+erdOne@users.noreply.github.com>

@@ -131,6 +131,10 @@ def inclusion {X : TopCat.{u}} (U : Opens X) : (toTopCat X).obj U ⟶ X where
   continuous_toFun := continuous_subtype_val
 #align topological_space.opens.inclusion TopologicalSpace.Opens.inclusion
 
+@[simp]
+theorem coe_inclusion {X : TopCat} {U : Opens X} :
+    (inclusion U : U → X) = Subtype.val := rfl
+
 theorem openEmbedding {X : TopCat.{u}} (U : Opens X) : OpenEmbedding (inclusion U) :=
   IsOpen.openEmbedding_subtype_val U.2
 #align topological_space.opens.open_embedding TopologicalSpace.Opens.openEmbedding
@@ -149,6 +153,7 @@ def map (f : X ⟶ Y) : Opens Y ⥤ Opens X where
   map i := ⟨⟨fun x h => i.le h⟩⟩
 #align topological_space.opens.map TopologicalSpace.Opens.map
 
+@[simp]
 theorem map_coe (f : X ⟶ Y) (U : Opens Y) : ((map f).obj U : Set X) = f ⁻¹' (U : Set Y) :=
   rfl
 #align topological_space.opens.map_coe TopologicalSpace.Opens.map_coe
@@ -218,7 +223,7 @@ theorem op_map_comp_obj (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
 theorem map_iSup (f : X ⟶ Y) {ι : Type*} (U : ι → Opens Y) :
     (map f).obj (iSup U) = iSup ((map f).obj ∘ U) := by
   ext1; rw [iSup_def, iSup_def, map_obj]
-  dsimp; rw [Set.preimage_iUnion]; rfl
+  dsimp; rw [Set.preimage_iUnion]
 #align topological_space.opens.map_supr TopologicalSpace.Opens.map_iSup
 
 section

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

@@ -70,7 +70,7 @@ noncomputable def infLERight (U V : Opens X) : U ⊓ V ⟶ V :=
 
 /-- The inclusion `U i ⟶ supr U` as a morphism in the category of open sets.
 -/
-noncomputable def leSupr {ι : Type _} (U : ι → Opens X) (i : ι) : U i ⟶ iSup U :=
+noncomputable def leSupr {ι : Type*} (U : ι → Opens X) (i : ι) : U i ⟶ iSup U :=
   (le_iSup U i).hom
 #align topological_space.opens.le_supr TopologicalSpace.Opens.leSupr
 
@@ -100,7 +100,7 @@ theorem infLELeft_apply_mk (U V : Opens X) (x) (m) :
 #align topological_space.opens.inf_le_left_apply_mk TopologicalSpace.Opens.infLELeft_apply_mk
 
 @[simp]
-theorem leSupr_apply_mk {ι : Type _} (U : ι → Opens X) (i : ι) (x) (m) :
+theorem leSupr_apply_mk {ι : Type*} (U : ι → Opens X) (i : ι) (x) (m) :
     (leSupr U i) ⟨x, m⟩ = ⟨x, (le_iSup U i : _) m⟩ :=
   rfl
 #align topological_space.opens.le_supr_apply_mk TopologicalSpace.Opens.leSupr_apply_mk
@@ -215,7 +215,7 @@ theorem op_map_comp_obj (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
   rfl
 #align topological_space.opens.op_map_comp_obj TopologicalSpace.Opens.op_map_comp_obj
 
-theorem map_iSup (f : X ⟶ Y) {ι : Type _} (U : ι → Opens Y) :
+theorem map_iSup (f : X ⟶ Y) {ι : Type*} (U : ι → Opens Y) :
     (map f).obj (iSup U) = iSup ((map f).obj ∘ U) := by
   ext1; rw [iSup_def, iSup_def, map_obj]
   dsimp; rw [Set.preimage_iUnion]; rfl

• depends on: #5966

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -2,17 +2,14 @@
 Copyright (c) 2019 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module topology.category.Top.opens
-! leanprover-community/mathlib commit d39590fc8728fbf6743249802486f8c91ffe07bc
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Category.Preorder
 import Mathlib.CategoryTheory.EqToHom
 import Mathlib.Topology.Category.TopCat.EpiMono
 import Mathlib.Topology.Sets.Opens
 
+#align_import topology.category.Top.opens from "leanprover-community/mathlib"@"d39590fc8728fbf6743249802486f8c91ffe07bc"
+
 /-!
 # The category of open sets in a topological space.
 

This is the second half of the changes originally in #5699, removing all occurrences of ; after a space and implementing a linter rule to enforce it.

In most cases this 2-character substring has a space after it, so the following command was run first:

find . -type f -name "*.lean" -exec sed -i -E 's/ ; /; /g' {} \;

The remaining cases were few enough in number that they were done manually.

@@ -405,7 +405,7 @@ theorem map_functor_eq {X : TopCat} {U : Opens X} (V : Opens U) :
 @[simp]
 theorem adjunction_counit_map_functor {X : TopCat} {U : Opens X} (V : Opens U) :
     U.openEmbedding.isOpenMap.adjunction.counit.app (U.openEmbedding.isOpenMap.functor.obj V) =
-      eqToHom (by dsimp ; rw [map_functor_eq V]) :=
+      eqToHom (by dsimp; rw [map_functor_eq V]) :=
   by apply Subsingleton.elim
 #align topological_space.opens.adjunction_counit_map_functor TopologicalSpace.Opens.adjunction_counit_map_functor
 

This PR is the result of running

find . -type f -name "*.lean" -exec sed -i -E 's/^( +)\. /\1· /' {} \;
find . -type f -name "*.lean" -exec sed -i -E 'N;s/^( +·)\n +(.*)$/\1 \2/;P;D' {} \;

which firstly replaces . focusing dots with · and secondly removes isolated instances of such dots, unifying them with the following line. A new rule is placed in the style linter to verify this.

@@ -355,10 +355,10 @@ theorem adjunction_counit_app_self {X : TopCat} (U : Opens X) :
 theorem inclusion_top_functor (X : TopCat) :
     (@Opens.openEmbedding X ⊤).isOpenMap.functor = map (inclusionTopIso X).inv := by
   refine' CategoryTheory.Functor.ext _ _
-  . intro U
+  · intro U
     ext x
     exact ⟨fun ⟨⟨_, _⟩, h, rfl⟩ => h, fun h => ⟨⟨x, trivial⟩, h, rfl⟩⟩
-  . intros U V f
+  · intros U V f
     apply Subsingleton.elim
 #align topological_space.opens.inclusion_top_functor TopologicalSpace.Opens.inclusion_top_functor
 
@@ -377,9 +377,9 @@ lemma set_range_forget_map_inclusion {X : TopCat} (U : Opens X) :
     Set.range ((forget TopCat).map (inclusion U)) = (U : Set X) := by
   ext x
   constructor
-  . rintro ⟨x, rfl⟩
+  · rintro ⟨x, rfl⟩
     exact x.2
-  . intro h
+  · intro h
     exact ⟨⟨x, h⟩, rfl⟩
 
 @[simp]

@@ -387,7 +387,7 @@ theorem functor_map_eq_inf {X : TopCat} (U V : Opens X) :
     U.openEmbedding.isOpenMap.functor.obj ((Opens.map U.inclusion).obj V) = V ⊓ U := by
   ext1
   refine' Set.image_preimage_eq_inter_range.trans _
-  rw [set_range_forget_map_inclusion U]
+  erw [set_range_forget_map_inclusion U]
   rfl
 #align topological_space.opens.functor_map_eq_inf TopologicalSpace.Opens.functor_map_eq_inf
 

Clean up of automation in the category theory library. Leaving out unnecessary proof steps, or fields done by aesop_cat, and making more use of available autoparameters.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>

@@ -262,7 +262,7 @@ theorem map_comp_eq (f : X ⟶ Y) (g : Y ⟶ Z) : map (f ≫ g) = map g ⋙ map
 then the functors `Opens Y ⥤ Opens X` they induce are isomorphic.
 -/
 def mapIso (f g : X ⟶ Y) (h : f = g) : map f ≅ map g :=
-  NatIso.ofComponents (fun U => eqToIso (by rw [congr_arg map h])) (by aesop_cat)
+  NatIso.ofComponents fun U => eqToIso (by rw [congr_arg map h])
 #align topological_space.opens.map_iso TopologicalSpace.Opens.mapIso
 
 theorem map_eq (f g : X ⟶ Y) (h : f = g) : map f = map g := by
@@ -295,12 +295,8 @@ TODO: define `OrderIso.equivalence`, use it.
 def mapMapIso {X Y : TopCat.{u}} (H : X ≅ Y) : Opens Y ≌ Opens X where
   functor := map H.hom
   inverse := map H.inv
-  unitIso :=
-    NatIso.ofComponents (fun U => eqToIso (by simp [map, Set.preimage_preimage]))
-      (by intros; simp)
-  counitIso :=
-    NatIso.ofComponents (fun U => eqToIso (by simp [map, Set.preimage_preimage]))
-      (by intros; simp)
+  unitIso := NatIso.ofComponents fun U => eqToIso (by simp [map, Set.preimage_preimage])
+  counitIso := NatIso.ofComponents fun U => eqToIso (by simp [map, Set.preimage_preimage])
 #align topological_space.opens.map_map_iso TopologicalSpace.Opens.mapMapIso
 
 end TopologicalSpace.Opens

@@ -10,7 +10,7 @@ Authors: Scott Morrison
 -/
 import Mathlib.CategoryTheory.Category.Preorder
 import Mathlib.CategoryTheory.EqToHom
-import Mathlib.Topology.Category.Top.EpiMono
+import Mathlib.Topology.Category.TopCat.EpiMono
 import Mathlib.Topology.Sets.Opens
 
 /-!

As discussed on Zulip

Renames

• supₛ → sSup
• infₛ → sInf
• supᵢ → iSup
• infᵢ → iInf
• bsupₛ → bsSup
• binfₛ → bsInf
• bsupᵢ → biSup
• binfᵢ → biInf
• csupₛ → csSup
• cinfₛ → csInf
• csupᵢ → ciSup
• cinfᵢ → ciInf
• unionₛ → sUnion
• interₛ → sInter
• unionᵢ → iUnion
• interᵢ → iInter
• bunionₛ → bsUnion
• binterₛ → bsInter
• bunionᵢ → biUnion
• binterᵢ → biInter

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

@@ -73,8 +73,8 @@ noncomputable def infLERight (U V : Opens X) : U ⊓ V ⟶ V :=
 
 /-- The inclusion `U i ⟶ supr U` as a morphism in the category of open sets.
 -/
-noncomputable def leSupr {ι : Type _} (U : ι → Opens X) (i : ι) : U i ⟶ supᵢ U :=
-  (le_supᵢ U i).hom
+noncomputable def leSupr {ι : Type _} (U : ι → Opens X) (i : ι) : U i ⟶ iSup U :=
+  (le_iSup U i).hom
 #align topological_space.opens.le_supr TopologicalSpace.Opens.leSupr
 
 /-- The inclusion `⊥ ⟶ U` as a morphism in the category of open sets.
@@ -104,7 +104,7 @@ theorem infLELeft_apply_mk (U V : Opens X) (x) (m) :
 
 @[simp]
 theorem leSupr_apply_mk {ι : Type _} (U : ι → Opens X) (i : ι) (x) (m) :
-    (leSupr U i) ⟨x, m⟩ = ⟨x, (le_supᵢ U i : _) m⟩ :=
+    (leSupr U i) ⟨x, m⟩ = ⟨x, (le_iSup U i : _) m⟩ :=
   rfl
 #align topological_space.opens.le_supr_apply_mk TopologicalSpace.Opens.leSupr_apply_mk
 
@@ -218,11 +218,11 @@ theorem op_map_comp_obj (f : X ⟶ Y) (g : Y ⟶ Z) (U) :
   rfl
 #align topological_space.opens.op_map_comp_obj TopologicalSpace.Opens.op_map_comp_obj
 
-theorem map_supᵢ (f : X ⟶ Y) {ι : Type _} (U : ι → Opens Y) :
-    (map f).obj (supᵢ U) = supᵢ ((map f).obj ∘ U) := by
-  ext1; rw [supᵢ_def, supᵢ_def, map_obj]
-  dsimp; rw [Set.preimage_unionᵢ]; rfl
-#align topological_space.opens.map_supr TopologicalSpace.Opens.map_supᵢ
+theorem map_iSup (f : X ⟶ Y) {ι : Type _} (U : ι → Opens Y) :
+    (map f).obj (iSup U) = iSup ((map f).obj ∘ U) := by
+  ext1; rw [iSup_def, iSup_def, map_obj]
+  dsimp; rw [Set.preimage_iUnion]; rfl
+#align topological_space.opens.map_supr TopologicalSpace.Opens.map_iSup
 
 section
 

@@ -21,7 +21,7 @@ We define `toTopCat : Opens X ⥤ TopCat` and
 
 Unfortunately `Opens` isn't (usefully) a functor `TopCat ⥤ Cat`.
 (One can in fact define such a functor,
-but using it results in unresolvable `eq.rec` terms in goals.)
+but using it results in unresolvable `Eq.rec` terms in goals.)
 
 Really it's a 2-functor from (spaces, continuous functions, equalities)
 to (categories, functors, natural isomorphisms).
@@ -33,11 +33,7 @@ Beyond that, there's a collection of simp lemmas for working with these construc
 -/
 
 
-open CategoryTheory
-
-open TopologicalSpace
-
-open Opposite
+open CategoryTheory TopologicalSpace Opposite
 
 universe u
 
@@ -46,10 +42,10 @@ namespace TopologicalSpace.Opens
 variable {X Y Z : TopCat.{u}}
 
 /-!
-Since `opens X` has a partial order, it automatically receives a `category` instance.
+Since `Opens X` has a partial order, it automatically receives a `Category` instance.
 Unfortunately, because we do not allow morphisms in `Prop`,
 the morphisms `U ⟶ V` are not just proofs `U ≤ V`, but rather
-`ulift (plift (U ≤ V))`.
+`ULift (PLift (U ≤ V))`.
 -/
 
 
@@ -65,15 +61,15 @@ We now construct as morphisms various inclusions of open sets.
 -- This is tedious, but necessary because we decided not to allow Prop as morphisms in a category...
 /-- The inclusion `U ⊓ V ⟶ U` as a morphism in the category of open sets.
 -/
-noncomputable def infLeLeft (U V : Opens X) : U ⊓ V ⟶ U :=
+noncomputable def infLELeft (U V : Opens X) : U ⊓ V ⟶ U :=
   inf_le_left.hom
-#align topological_space.opens.inf_le_left TopologicalSpace.Opens.infLeLeft
+#align topological_space.opens.inf_le_left TopologicalSpace.Opens.infLELeft
 
 /-- The inclusion `U ⊓ V ⟶ V` as a morphism in the category of open sets.
 -/
-noncomputable def infLeRight (U V : Opens X) : U ⊓ V ⟶ V :=
+noncomputable def infLERight (U V : Opens X) : U ⊓ V ⟶ V :=
   inf_le_right.hom
-#align topological_space.opens.inf_le_right TopologicalSpace.Opens.infLeRight
+#align topological_space.opens.inf_le_right TopologicalSpace.Opens.infLERight
 
 /-- The inclusion `U i ⟶ supr U` as a morphism in the category of open sets.
 -/
@@ -83,9 +79,9 @@ noncomputable def leSupr {ι : Type _} (U : ι → Opens X) (i : ι) : U i ⟶ s
 
 /-- The inclusion `⊥ ⟶ U` as a morphism in the category of open sets.
 -/
-noncomputable def botLe (U : Opens X) : ⊥ ⟶ U :=
+noncomputable def botLE (U : Opens X) : ⊥ ⟶ U :=
   bot_le.hom
-#align topological_space.opens.bot_le TopologicalSpace.Opens.botLe
+#align topological_space.opens.bot_le TopologicalSpace.Opens.botLE
 
 /-- The inclusion `U ⟶ ⊤` as a morphism in the category of open sets.
 -/
@@ -95,16 +91,16 @@ noncomputable def leTop (U : Opens X) : U ⟶ ⊤ :=
 
 -- We do not mark this as a simp lemma because it breaks open `x`.
 -- Nevertheless, it is useful in `SheafOfFunctions`.
-theorem infLeLeft_apply (U V : Opens X) (x) :
-    (infLeLeft U V) x = ⟨x.1, (@inf_le_left _ _ U V : _ ≤ _) x.2⟩ :=
+theorem infLELeft_apply (U V : Opens X) (x) :
+    (infLELeft U V) x = ⟨x.1, (@inf_le_left _ _ U V : _ ≤ _) x.2⟩ :=
   rfl
-#align topological_space.opens.inf_le_left_apply TopologicalSpace.Opens.infLeLeft_apply
+#align topological_space.opens.inf_le_left_apply TopologicalSpace.Opens.infLELeft_apply
 
 @[simp]
-theorem infLeLeft_apply_mk (U V : Opens X) (x) (m) :
-    (infLeLeft U V) ⟨x, m⟩ = ⟨x, (@inf_le_left _ _ U V : _ ≤ _) m⟩ :=
+theorem infLELeft_apply_mk (U V : Opens X) (x) (m) :
+    (infLELeft U V) ⟨x, m⟩ = ⟨x, (@inf_le_left _ _ U V : _ ≤ _) m⟩ :=
   rfl
-#align topological_space.opens.inf_le_left_apply_mk TopologicalSpace.Opens.infLeLeft_apply_mk
+#align topological_space.opens.inf_le_left_apply_mk TopologicalSpace.Opens.infLELeft_apply_mk
 
 @[simp]
 theorem leSupr_apply_mk {ι : Type _} (U : ι → Opens X) (i : ι) (x) (m) :
@@ -301,10 +297,10 @@ def mapMapIso {X Y : TopCat.{u}} (H : X ≅ Y) : Opens Y ≌ Opens X where
   inverse := map H.inv
   unitIso :=
     NatIso.ofComponents (fun U => eqToIso (by simp [map, Set.preimage_preimage]))
-      (by intros ; simp)
+      (by intros; simp)
   counitIso :=
     NatIso.ofComponents (fun U => eqToIso (by simp [map, Set.preimage_preimage]))
-      (by intros ; simp)
+      (by intros; simp)
 #align topological_space.opens.map_map_iso TopologicalSpace.Opens.mapMapIso
 
 end TopologicalSpace.Opens
@@ -372,7 +368,8 @@ theorem inclusion_top_functor (X : TopCat) :
 
 theorem functor_obj_map_obj {X Y : TopCat} {f : X ⟶ Y} (hf : IsOpenMap f) (U : Opens Y) :
     hf.functor.obj ((Opens.map f).obj U) = hf.functor.obj ⊤ ⊓ U := by
-  ext; constructor
+  ext
+  constructor
   · rintro ⟨x, hx, rfl⟩
     exact ⟨⟨x, trivial, rfl⟩, hx⟩
   · rintro ⟨⟨x, -, rfl⟩, hx⟩